If 1.2 moles of a gas occupy a volume of 2.0 L at 300 K, what is the pressure of the gas? a) 15 atm b) 720 atm c) 0.4 atm.

Answers

Answer 1

The pressure of the gas is approximately 14.71 atm, which is closest to answer choice a) 15 atm.

We can use the ideal gas law to solve for the pressure of the gas:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in kelvins.

Substituting the given values, we get:

P(2.0 L) = (1.2 moles)(0.0821 L·atm/mol·K)(300 K)

Simplifying and solving for P, we get:

P = (1.2 moles)(0.0821 L·atm/mol·K)(300 K) / 2.0 L

P = 14.71 atm

Therefore, the pressure of the gas is approximately 14.71 atm, which is closest to answer choice a) 15 atm.

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Answer 2

If 1.2 moles of a gas occupy a volume of 2.0 L at 300 K,  the pressure of the gas is option a) 15 atm.

To solve this problem, we need to use the ideal gas law, which is PV = nRT.

P = pressure of the gas (in atm)
V = volume of the gas (in L)
n = number of moles of gas
R = universal gas constant (0.08206 L·atm/mol·K)
T = temperature of the gas (in K)

First, let's convert the given values into the correct units:

n = 1.2 moles
V = 2.0 L
T = 300 K

Now we can plug these values into the ideal gas law equation:

PV = nRT

P(2.0 L) = (1.2 mol)(0.08206 L·atm/mol·K)(300 K)

Simplifying this equation, we get:

P = (1.2 mol)(0.08206 L·atm/mol·K)(300 K)/(2.0 L)

P = 14.4 atm

Therefore, the pressure of the gas is approximately 14.4 atm.

None of the given answer choices match exactly with this value, but option a) is the closest at 15 atm.

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Related Questions

which of the following statements is incorrect? select one: a. the entropy is larger when a disolved salt in a liquid is uniform or spread throughout the liquid than when it is highly concentration in a small portion of the liquid. b. an iron nail at 100oc has more entropy than the same nail at 250oc c. entropy decreases when a gas dissolves in a solvent, mainly because the dissolved molecules are confined to a smaller volume. d. adding heat to a substance always increases its entropy. e. entropy increases in going from the solid to the liquid to the gaseous state. f. when a solid dissolves in a liquid the entropy generally increases because the positional entropy increases. for example, dissolving a sugar cube in water. g. the kinetic energy of the particles in a sample increases as the temperature increases. the disorder increases as the motion of the particles increases. consequently, entropy increases as the temperature increases

Answers

The incorrect statement for entropy is the entropy is larger when a dissolved salt in a liquid is uniform or spread throughout the liquid than when it is highly concentration in a small portion of the liquid. The answer to this question is A..

Change in entropyThe entropy loss from ion binding and hydration decreases with increasing salt concentration, and at a certain temperature, the closure rate then increases noticeably with increasing ion concentration.The straightforward response is that water's entropy rises when salt dissolves in it, reducing the freezing point. A measure of disorder in a substance is called entropy, which is frequently used interchangeably with the word chaos.Entropy rises during the sublimation and evaporation processes, which transform a substance from a solid to a gas or a liquid to a gas. In a similar vein, entropy rises with the dissolution of a solid in water.A substance being divided into several pieces results in an increase in entropy. Due to the solute particles' separation from one another when a solution is generated, the dissolution process increases entropy.

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consider the pictured structure of a dipeptide. dipeptide structure with labels a through d. the a label is at the end of the molecule with the positively charged nh3 group. the b label is placed by the bond between the carbonyl group and the amine. the c label is next to a carbon with shown single bonds to the carboxylate, a ch2oh, and the rest of the molecule. the d label is next to the carboxylate at the end of the molecule. what does each label on the structure represent?

Answers

The dipeptide structure with labels a through d represents the different functional groups and atoms present in the molecule.

Label a is located at the end of the molecule with the positively charged NH3 group, indicating the presence of an amino group. The b label is placed by the bond between the carbonyl group and the amine, indicating the presence of a peptide bond.

Label c is next to a carbon with shown single bonds to the carboxylate, a CH2OH, and the rest of the molecule, indicating the presence of a side chain. Finally, the d label is next to the carboxylate at the end of the molecule,

indicating the presence of a carboxylic acid functional group. Understanding the different functional groups and atoms present in the dipeptide structure is important in understanding its properties and behavior in chemical reactions and biological processes.

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if the size of the zinc electrode were doubled, does the cell voltage increase, decrease or stay the same? justify your answer.

Answers

In changing the size of the zinc electrode would not impact the voltage of the cell.

If the size of the zinc electrode were doubled, the cell voltage would stay the same. This is because the voltage of a cell is dependent on the difference in potential between the two electrodes, not their size.

Doubling the size of the zinc electrode would not change the potential difference between the zinc and copper electrodes, therefore the cell voltage would remain constant.

The only factor that would affect the cell voltage would be a change in the concentration or temperature of the electrolyte solution or a change in the material or surface area of the copper electrode.

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If 120 cm3 of oxygen gas is collected at 27 oC and 713.3 mm Hg pressure, what will the volume (in cm3) of the dry gas be at STP?

Answers

If 120 cm³ of oxygen gas is collected at 713.3 mm Hg pressure, the volume of the dry gas at STP is 0.102 cm³.

How do you calculate  the volume of the dry gas to be at STP?

To solve this problem, we will use the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas:

PV = nRT

First, we need to convert the given conditions to the correct units. The temperature is already in Celsius, so we need to convert it to kelvins by adding 273.15:

T = 27 + 273.15 = 300.15 K

The pressure is given in millimeters of mercury (mm Hg), so we need to convert it to atmospheres (atm) to use in the ideal gas law. There are 760 mm Hg in 1 atm, so:

P = 713.3 mm Hg / 760 mm Hg/atm = 0.938 atm

Next, we can use the ideal gas law to find the number of moles of oxygen gas:

n = PV/RT = (0.938 atm)(120 cm³)/(0.08206 L·atm/(mol·K))(300.15 K) = 0.00454 mol

Finally, we can use the molar volume of a gas at STP (standard temperature and pressure) to find the volume of the dry gas at STP. At STP, the temperature is 273.15 K and the pressure is 1 atm. The molar volume of a gas at STP is 22.4 L/mol, so:

V = n(22.4 L/mol) = (0.00454 mol)(22.4 L/mol) = 0.102 cm³

Therefore, the volume of the dry gas at STP is 0.102 cm³.

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Boyle's Law: If it takes 0.0500L of oxygen gas kept in a cylinder under pressure to fill an evacuated 4.00L reaction vessel in which the pressure is 0.980atm. What was the initial pressure of the gas in the cylinder?

Answers

We can use Boyle's Law to solve this problem, which states that the pressure and volume of a gas are inversely proportional, as long as the temperature remains constant. This means that we can use the formula:

P1V1 = P2V2

where P1 and V1 are the pressure and volume at the initial state, and P2 and V2 are the pressure and volume at the final state.

We are given:

V1 = 0.0500 L
V2 = 4.00 L
P2 = 0.980 atm

We can solve for P1:

P1 = (P2V2) / V1

P1 = (0.980 atm x 4.00 L) / 0.0500 L

P1 = 78.4 atm (rounded to one decimal place)

Therefore, the initial pressure of the gas in the cylinder was about 78.4 atm.

the decrease in the second ionization energy of alkali metals going down the group, as shown in the table above, can be best attributed to a decrease in the coulombic force of attraction due to

Answers

The decrease in the second ionization energy of alkali metals going down the group is due to the increase in atomic radius.

As the atomic radius increases, the distance between the nucleus and the outermost electron increases, which reduces the coulombic force of attraction between the nucleus and the electron.

This reduced coulombic force of attraction reduces the energy required to remove the electron, thus resulting in a decrease in the ionization energy. Additionally, due to the increased number of electrons, the effective nuclear charge decreases, which further reduces the force of attraction between the nucleus and the electron, thus resulting in a further decrease in the ionization energy.

Therefore, the decrease in the second ionization energy of alkali metals going down the group can be attributed to a decrease in the coulombic force of attraction due to the increase in atomic radius and the decrease in the effective nuclear charge.

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what is the effect on the concentration of ammonia, hydroxide ion, and ammonium ion when the following are added to a basic buffer solution of equal concentrations of ammonia and ammonium nitrate:

Answers

Changes in the chemical environment of a basic buffer solution can cause shifts in the equilibrium between ammonia, hydroxide ion, and ammonium ion, leading to changes in their respective concentrations.

When a basic buffer solution of equal concentrations of ammonia and ammonium nitrate is subjected to changes in its chemical environment, the concentrations of ammonia, hydroxide ion, and ammonium ion will be affected as follows:

1) Addition of an acid: The acid reacts with the hydroxide ion present in the buffer solution to form water. This decreases the concentration of hydroxide ion and shifts the equilibrium towards the formation of more ammonia and ammonium ion, thus increasing their concentrations.

2)Addition of a base: The base reacts with the ammonium ion present in the buffer solution to form ammonia and water. This decreases the concentration of ammonium ion and shifts the equilibrium towards the formation of more hydroxide ion, thus increasing its concentration.

3)Dilution: Diluting the buffer solution with water decreases the concentrations of both ammonia and ammonium ion, but does not affect the concentration of hydroxide ion.

4)Addition of ammonium chloride: The ammonium chloride dissociates into ammonium ion and chloride ion in the buffer solution. The increase in ammonium ion concentration causes the equilibrium to shift towards the formation of more ammonia and hydroxide ion, thus increasing their concentrations.

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Which of the following is evidence for a chemical reaction?(a) Dropping sodium metal into water gives a yellow flame.(b) Dropping iron metal into acid produces gas bubbles.

Answers

Both options (a) and (b) are evidence for a chemical reaction.

In option (a), the yellow flame is an indication that a chemical reaction has occurred between the sodium metal and water, producing hydrogen gas and sodium hydroxide.

In option (b), the gas bubbles produced indicate that a chemical reaction has occurred between the iron metal and the acid, producing hydrogen gas and iron(II) ions. Based on the given options, evidence for a chemical reaction can be observed in both (a) and (b).

In (a), dropping sodium metal into water produces a yellow flame, indicating a chemical reaction as new substances are formed. In (b), dropping iron metal into acid produces gas bubbles, which also signifies a chemical reaction as a new product, in this case gas, is generated.

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What is the concentration (in molality) of an aqueous solution of NaCl made by adding
4.56 g of NaCl to enough water to give 20.0 mL of solution. Assume the density of the
solution is 1.03 g/mL

Answers

Answer:

data given

mass of NaCl 4.56

dissolved volume 20ml(0.02l)

density of solution 1.03g/ml

Required molality

Explanation:

molarity=m/mr×v

where

m is mass

mr molar mass

v is volume

now,

molarity=4.56/58.5×0.02

molarity =3.9

: .molarity is 3.9mol/dm^3

According to molal concentration, the concentration (in molality) of an aqueous solution of NaCl is 0.0047 mole/kg.

What is molal concentration?

Molal concentration is defined as a measure by which concentration of chemical substances present in a solution are determined. It is defined in particular reference to solute concentration in a solution . Most commonly used unit for molal concentration is moles/kg.

The molal concentration depends on change in volume of the solution which is mainly due to thermal expansion. Molal concentration is calculated by the formula, molal concentration=mass/ molar mass ×1/mass of solvent in kg.

In terms of moles, it's formula is given as molal concentration= number of moles /mass of solvent in kg.

Substitution in formula gives the answer but first mass of solution is determined which  is density×volume= 1.03×20=20.6 g , mass of solvent= 20.6-4.56=16.05, thus molal concentration=4.56/58.5×1/16.05=0.0047 moles/kg.

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PLEASE ANSWER ASAP
1. How many atoms are present in 8.500 mole of chlorine atoms?
2. Determine the mass (g) of 15.50 mole of oxygen.
3. Determine the number of moles of helium in 1.953 x 108 g of helium.
4. Calculate the number of atoms in 147.82 g of sulfur.
5. Determine the molar mass of Co.
6. Determine the formula mass of Ca3(PO4)2.
IT WOULD BE HELPFUL

Answers

1) 5.1167 x 10²⁴atoms of chlorine. 2) 248.00 g. 3) 4.8825 x 10⁷ moles of helium. 4) 2.7757 x 10²⁴ atoms of sulfur.  5) Molar mass of Co (cobalt) is 58.93 g/mol.  6) Formula mass =  310.18 g/mol.

What is meant by formula mass?

Sum of the atomic masses of all the atoms in chemical formula is called formula mass

1.)  Number of atoms = 8.500 moles x 6.022 x 10²³ atoms/mole = 5.1167 x 10²⁴ atoms of chlorine.

2.) Molar mass of oxygen is 16.00 g/mol. Therefore:

Mass of 15.50 moles of oxygen = 15.50 moles x 16.00 g/mol = 248.00 g.

3.) Molar mass of helium is 4.00 g/mol. Therefore, the number of moles of helium in 1.953 x 10⁸ g is:

Number of moles = 1.953 x 10⁸ g / 4.00 g/mol = 4.8825 x 10⁷ moles of helium.

4.) Molar mass of sulfur is 32.06 g/mol. Therefore, the number of moles of sulfur in 147.82 g is:

Number of moles = 147.82 g / 32.06 g/mol = 4.6084 moles of sulfur.

To find the number of atoms, we can use Avogadro's number again:

Number of atoms = 4.6084 moles x 6.022 x 10²³ atoms/mole = 2.7757 x 10²⁴ atoms of sulfur.

5.) Molar mass of Co (cobalt) is 58.93 g/mol.

6.) Ca₃(PO₄)₂ contains 3 calcium atoms, 2 phosphorus atoms, and 8 oxygen atoms.

Atomic masses of these elements are:

Calcium (Ca) = 40.08 g/mol

Phosphorus (P) = 30.97 g/mol

Oxygen (O) = 16.00 g/mol

Therefore, formula mass of Ca₃(PO₄)₂ is:

Formula mass = (3 x 40.08 g/mol) + (2 x 30.97 g/mol) + (8 x 16.00 g/mol)

= 120.24 g/mol + 61.94 g/mol + 128.00 g/mol

= 310.18 g/mol.

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The atmospheric pressure on top of Mt. Everest (elevation 29,028) is 250. torr. Calculate the atmospheric pressure in mmHg and atm. Round each of your answers to 3 significant digits.

Answers

The atmospheric pressure on top of Mt. Everest is 250 mmHg and 0.328 atm, when rounded to 3 significant digits.

What is Pressure?

Pressure is a force that is exerted over a surface area. It is the amount of force applied to an object per unit area. Pressure is typically expressed in units of force per unit of area, such as pounds per square inch (psi) or pascals (Pa). Pressure is an important factor in many areas of engineering, physics, chemistry, and biology.

Atmospheric pressure can be measured in torr (1 Torr = 1mmHg), atm (1 atm = 760mmHg) or in kPa (1 atm = 101.3kPa).
250 torr = 250 mmHg
250 mmHg / 760 mmHg = 0.328 atm

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What advice would you give to the company that wants to build a bridge in South America? Make sure to include whether there is anything the company should change about its design and materials. Give specific examples. Your answer should include at least five complete sentences.

Answers

When building a bridge in South America, it is important to consider the climate and terrain of the region. The company should research the area and use the most appropriate materials for the task.

What is materials?

Materials are substances or resources that are used to create or make something else. Examples of materials include plastics, metals, fabrics, and paper. Materials are used in the manufacturing of products, such as food, clothing, furniture, and electronics. Materials can also be found in nature, including wood, stone, and minerals. They are also used in the construction of buildings, bridges, and other structures.

For example, they should use steel or reinforced concrete to build the bridge, as these materials are highly durable in wet, humid climates. Additionally, they should make sure to use corrosion-resistant fasteners and coatings to prevent rusting. The company should also consider the seismic activity in the region when designing the bridge, as earthquakes can cause significant structural damage. They should make sure to use seismic-resistant designs and materials, such as flexible joints, to help reduce the risk of damage. Lastly, the company should include guardrails and other safety features on the bridge, as it will be traversed by both pedestrians and vehicles.

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ammonia is a weak electrolyte. which of the following is true about the behavior of ammonia in water? question 11 options: ammonia is insoluble in water ammonia forms no ions when it dissolves in water ammonia ionizes completely in water ammonia ionizes only partially in water

Answers

Ammonia ionizes only partially in water. Option 4 is correct.

When ammonia dissolves in water, it reacts with water to form ammonium ions (NH₄⁺) and hydroxide ions (OH⁻), according to the equation: NH₃ + H₂O ⇌ NH₄⁺ + OH⁻. However, this reaction is reversible and only a small fraction of ammonia molecules ionize to form ions. As a result, ammonia is classified as a weak electrolyte, meaning that it only conducts electricity weakly in solution.

Weak electrolytes are characterized by their partial ionization in solution, and they have relatively low electrical conductivity compared to strong electrolytes, which ionize completely in solution. Hence Option 4 is correct.

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at what ph would the structure be the predominant ionization state? consider the ionization state of all three of the functional groups.

Answers

The pH at which the molecule will be predominantly in its ionized state depends on the pKa values of the functional groups and the pH of the solution.

To determine the pH of a molecule with three functional groups, we need to consider the pKa values of each group and the pH of the solution. The pKa values represent the pH at which 50% of the functional group is ionized and 50% is in the non-ionized form.

If the pH is below the pKa of a functional group, the group will be mostly in the protonated (non-ionized) form. If the pH is above the pKa, the group will be mostly in the deprotonated (ionized) form.

Therefore, we need to determine the pKa values of each functional group and the pH at which each group is mostly ionized or non-ionized. For example, if a molecule has a carboxylic acid group (pKa = 4.5), an amine group (pKa = 9.5), and a phenol group (pKa = 10), we can use the following table to determine the predominant ionization state at different pH values:

pH    Carboxylic acid       Amine              Phenol

1           Protonated        Protonated         Protonated
4.5      Half ionized        Protonated         Protonated
7      Mostly ionized      Half ionized         Protonated
9.5   Mostly ionized      Mostly ionized    Half ionized
10     Mostly ionized      Mostly ionized    Mostly ionized
14      Deprotonated      Deprotonated     Deprotonated

Therefore, the pH at which the molecule will be predominantly in its ionized state depends on the pKa values of the functional groups and the pH of the solution.

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a solution containing 20.0 g of an unknown non-electrolyte liquid and 110.0 g water has a freezing point of -1.32 °c. given kf = 1.86°c/m for water, the molar mass of the unknown liquid is ____g/mol.

Answers

The molar mass of the unknown non-electrolyte liquid is given as

256 g/mol, option A.

The ratio between the mass and the amount of substance (measured in moles) of any sample of a chemical compound is known as the molar mass (M) in chemistry. The molar mass of a material is a bulk attribute rather than a molecular one.

ΔTemp.f = i x Kf x b

where,

ΔTemp.f = the freezing-point depression;

i = the Van't Hoff factor

Kf = the cryoscopic constant of the solvent;

b = the molality of the solution.

Solving for the molality, b = ΔTemp.f/( i * Kf)

                   = 1.32/(1*1.86)

                   = 0.71 mol/kg

Converting from mol/kg to mol/g,

            0.71 mol/kg * 1kg/1000g

             = 0.00071 mol/g.

Mass of solvent = 110g

              Number of moles = mass * molality

              = 0.00071 * 110

              = 0.078 mol.

To calculate molar mass,

          Molar mass (g/mol) = mass/number of moles

          Mass of solute (liquid) = 20g

          Molar mass = 20/0.078

          = 256.2 g/mol. ≈ 256 g/mol

Therefore, molar mass of the unknown liquid is 256.2 g/mol.

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Complete question:

A solution containing 20.0 g of an unknown non-electrolyte liquid and 110.0 g water has a freezing point of -1.32 °c. given kf = 1.86°c/m for water, the molar mass of the unknown liquid is ____g/mol.

A)256B) 69.0 C) 619 D) 78.1

The molar mass of the unknown liquid is 256.5 g/mol.To solve this problem, we can use the formula for calculating the freezing point depression: ΔTf = Kf·m·i

where ΔTf is the change in freezing point (in °C), Kf is the freezing point depression constant (in °C/m), m is the molality of the solution (in mol/kg), and i is the van't Hoff factor (which is 1 for non-electrolytes).

First, we need to calculate the molality of the solution:

molality = moles of solute / mass of solvent (in kg)

We know that the mass of the solvent (water) is 110.0 g, which is 0.1100 kg. To find the moles of solute (the unknown liquid), we need to divide its mass (20.0 g) by its molar mass (which we don't know yet). Let's call the molar mass "M":

moles of solute = 20.0 g / M

So, the molality is:

molality = (20.0 g / M) / 0.1100 kg
molality = (20.0 / M) / 0.1100 mol/kg

Now, we can plug this into the formula for freezing point depression:

ΔTf = Kf·m·i
-1.32 = 1.86·[(20.0 / M) / 0.1100]·1

Simplifying this equation, we get:

-1.32 = 1.86·(181.8 / M)
-1.32 = 338.628 / M
M = 338.628 / 1.32
M = 256.5 g/mol

Therefore, the molar mass of the unknown liquid is 256.5 g/mol.

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given two orbitals as linear combinations of two atomic orbitals on carbon atom in ethene: where the hydrogen-like atomic orbitals are orthonormal. what is the value of the overlap integra

Answers

the overlap integral simplifies to:

S = c1c2 + d1d2d1d2.

To calculate the overlap integral between two linear combinations of atomic orbitals on a carbon atom in ethene, we first need to express the orbitals in terms of the hydrogen-like atomic orbitals. Let's assume that the two orbitals are denoted as ψ1 and ψ2, and can be expressed as linear combinations of the hydrogen-like atomic orbitals ϕ1 and ϕ2 as follows:

ψ1 = c1ϕ1 + d1ϕ2
ψ2 = c2ϕ1 + d2ϕ2

where c1, d1, c2, and d2 are constants.

The overlap integral between these two orbitals can be calculated using the following formula:

S = ∫ψ1ψ2*dτ

where dτ represents the infinitesimal volume element.

Substituting for ψ1 and ψ2, we get:

S = ∫(c1ϕ1 + d1ϕ2)(c2ϕ1 + d2ϕ2)*dτ

Expanding the product, we get:

S = c1c2∫ϕ1ϕ1*dτ + c1d2∫ϕ1ϕ2*dτ + d1c2∫ϕ2ϕ1*dτ + d1d2∫ϕ2ϕ2*dτ

Since the hydrogen-like atomic orbitals are orthonormal, the integral of ϕ1ϕ2 and ϕ2ϕ1 will be zero. Therefore, we can simplify the expression as follows:

S = c1c2∫ϕ1ϕ1*dτ + d1d2∫ϕ2ϕ2*dτ

Using the orthonormality of the hydrogen-like atomic orbitals, we know that the integral of ϕ1ϕ1 and ϕ2ϕ2 will both be equal to 1. Therefore, the overlap integral simplifies to:

S = c1c2 + d1d2d1d2.

In order to calculate the value of S, we need to know the values of the constants c1, d1, c2, and d2. These constants will depend on the specific linear combinations of atomic orbitals that we are considering. Without this information, we cannot calculate the value of the overlap integral.

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If two orbitals as linear combinations of two atomic orbitals on carbon atom in ethene, then value of the overlap integral [tex]S_{12} = \int{\phi_{1}}^{*}\phi_{2}d \tau[/tex], is equals to zero. So, option(b) is correct.

Orthonormal atomic orbitals are follow the following property:

[tex]\int{ m _i }* n_i d\tau = 1[/tex][tex]\int m_i^{*} n_j d\tau = 0[/tex]

Now, we have provide that two orbitals are as a linear combinations of two atomic orbitals on carbon atom in ethene. [tex]\phi_{1 } = \frac{1}{ \sqrt{2} } ( {\psi_{2s }} + {\psi_{2p }}_{2})[/tex]

[tex]\phi_{2 } = \frac{1}{ \sqrt{2} } ( \psi_{2 s} - {\psi_{2p} }_{2})[/tex]

In the ethylene molecule, consists each carbon atom is bonded to two hydrogen atoms. Therefore, for the C-H, σ bond (sp²(C) - 1s(H)) in ethylene, the two sp² hybrid orbitals overlap with the 1s orbitals of the two hydrogen atoms. Let the hydrogen-like atomic orbitals, [tex]\psi_{2 s} and {\psi_{2p} }_{2}[/tex] are orthonormal to each other. So, the overlap integral [tex]S_{12} = \int{ \phi_{1}}^{*}\phi_{2}d \tau[/tex]

[tex] = \int \frac{1}{\sqrt{2}}( \psi_{2s} + {\psi_{2p} }_{2}) \frac{1}{\sqrt{2}}( \psi_{2s} - {\psi_{2p} }_{2})d \tau\\ [/tex]

[tex] = \frac{1}{\sqrt{2}}( \int \psi_{2s}\psi_{2s} d \tau + \int {\psi_{2p} }_{2}\psi_{2s} d \tau - \int \psi_{2s} {\psi_{2p}}_{2} d \tau - \int {\psi_{2p} }_{2} {\psi_{2p} }_{2} d \tau) \\ [/tex].

Using above formula, [tex]\psi_{2 s} [/tex] and [tex]{\psi_{2p} }_{2}[/tex] are orthonormal so, [tex]\int \psi_{2 s} {\psi_{2p} }_{2} d\tau = 0[/tex]. Also [tex]\psi_{2 s} [/tex] and [tex]\psi_{2 s}[/tex] are normalised so [tex]\int \psi_{2 s} \psi_{2 s} d\tau = 1[/tex]. Similarly [tex]\int {\psi_{2p} }_{2} {\psi_{2p} }_{2} d\tau = 1 [/tex].

Substitute all integral values in equation (1),

= 1 + 0 - 0 - 1

= 0

Hence, the required integral value is 0.

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Complete question:

given two orbitals as linear combinations of two atomic orbitals on carbon atom in ethene:

[tex]\phi_{1 } = \frac{1}{ \sqrt{2} } ( {\psi_{2s }} + {\psi_{2p }}_{2})[/tex]

[tex]\phi_{2 } = \frac{1}{ \sqrt{2} } ( \psi_{2 s} - {\psi_{2p} }_{2})[/tex]

where the hydrogen-like atomic orbitals are orthonormal. what is the value of the overlap integral,

[tex] S_{12} = \int \phi_{1} \times \phi_{2}dr[/tex]

a) 1

b) 0

c) 1.5

d) 2


Calculate the pH of a solution that contains 52. mL of 0.428 M HCl, and 44.5
mL of 0.500 M methylamine, CH3NH₂. The pKb, of methylamine is 3.34.

Answers

Answer:

Explanation:

The pH of the solution is 10.80

The pH of the solution is 10.80.

Explanation: This can be calculated using the Henderson-Hasselbalch equation, which takes into account the acid dissociation constant (pKa) of the acid and the concentration of the acid and its conjugate base. The HCl dissociates completely in water, so it does not affect the pH calculation.

The methylamine acts as a weak base and reacts with water to form its conjugate acid, which determines the pH of the solution.

The pKb of methylamine is used to calculate its pKa, which is then used in the Henderson-Hasselbalch equation.

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what is molarity? match the items in the left column to the appropriate blanks in the sentences on the right.

Answers

Molarity (M) is a unit of concentration that expresses the amount of solute dissolved in a solution. It is defined as the number of moles of solute present per liter of solution (mol/L).


What is Molarity?

Molarity is commonly used in chemistry to express the concentration of a solute in a solution and is typically represented as moles of solute per liter of solution (mol/L or mol L^-1). Molarity is used to describe the concentration of a solution and is important in various calculations involving chemical reactions and solutions.

To calculate molarity, follow these steps:
1. Determine the number of moles of solute in the solution.
2. Measure the volume of the solution in liters.
3. Divide the moles of solute by the volume of the solution in liters.

Molarity = moles of solute/liters of solution

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Molarity is a unit of concentration in chemistry. It is defined as the number of moles of solute per liter of solution. In other words, it measures the amount of substance (in moles) dissolved in a given volume of solution (in liters). the left column contains "molarity," "moles," and "liters," and the sentences.


To match the items in the left column to the appropriate blanks in the sentences on the right, we can use the following:
- Molarity: a unit of concentration in chemistry
- Number of moles: the amount of substance dissolved in a solution
- Liter of solution: the volume in which the substance is dissolved
- Solvent: the substance in which the solute is dissolved
- Solute: the substance that is dissolved in a solvent to make a solution

So the sentences could be:
- Molarity is a unit of concentration in chemistry that measures the amount of substance (in moles) dissolved in a given volume of solution (in liters).
- The number of moles of solute per liter of solution is known as molarity.
- A liter of solution is the volume in which the solute is dissolved to make a solution with a certain molarity.
- A solvent is a substance in which a solute is dissolved to make a solution of a certain molarity.
- A solute is a substance that is dissolved in a solvent to make a solution of a certain molarity.
Hello! Molarity is a measure of the concentration of a solute in a solution, expressed as moles of solute per liter of solution. To match items in the left column to the appropriate blanks in the sentences on the right, follow these steps:

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what mass of cu(s) is electroplated by running 23.0 a of current through a cu2 (aq) solution for 4.00 h ? express your answer to three significant figures and include the appropriate units.

Answers

Electrolysis is a process that is used to electric current is passed in a solution. The mass of cu(s) is electroplated by running 23.0 a of current through a cu2 (aq) solution for 4.00 h is equals to 64 grams.

Electrolysis is a process in which an electric current is passed in a solution. Solving electrolysis problem is more on stoichiometric calculations are, coulombs = amperes x time

1 Faraday = 96,485 coulombs

1 Faraday = 1 mole of electrons

We have to determine the mass of cu(s) is electroplated by running 23.0 a of current through a Cu (aq) solution for 4.00 h. Half reaction, [tex]Cu^{2+ } + 2e^{-} --> Cu[/tex]

Current, I = 23.0 A

Time, t = 4 hours = 4 × 3600 seconds

= 14400 seconds

Calculate the moles of Copper, n=Q ×z× F

where, Q = total charge in coulombs

F = Faraday constant = 96485 per molez = the number of electrons in the half-cell reaction = 2

Computing for Q = 13.5coulomb sec (14,400 sec) = 194,400 coulomb-sec²

So, n = 194,400 coulomb-s² /(96485 coulomb)

= 1.007 moles Cu

Molar mass = 63.55 grams per mole

Molar mass is defined as the mass of substance divided by moles of substance.

=> 63.55 grams per mole = m/ 1.007 moles Cu

=> m = 63.55 g × 1.007

=> m = 64 grams

Hence, required value is 64 grams.

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The cloud droplets in a cloud are formed by water vapor molecules and: A) protons. B) ions. C) molecules of air. D) condensation nuclei.

Answers

Answer:

condensation nuclei

Explanation:

Which substance is not a structural isomer of hexyne?


a) hex-2-yne

b) hex-3-yne

c) 3,3-dimethylpent-1-yne

d) 4-methylpent-1-yne

e) 2,3-dimethylbuta-1,3-diene

Answers

2,3-dimethylbuta-1,3-diene is not a structural isomer of hexyne. Option e is correct.

Structural isomers are molecules with the same chemical formula but different arrangements of atoms. Hexyne is a hydrocarbon with six carbon atoms and one triple bond. Option (e), 2,3-dimethylbuta-1,3-diene, is not a structural isomer of hexyne because it has a different number of carbon atoms and a different type of bond. It has four carbon atoms and two double bonds, whereas hexyne has six carbon atoms and one triple bond.

Options (a), (b), (c), and (d) are all structural isomers of hexyne because they have the same number of carbon atoms and the same type of bond but different arrangements of atoms. Hence, option e is correct.

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what will be the molarity of a naoh solution made by diluting 20.0 ml of 1.50 m to a final volume of 50.0 ml.

Answers

Explanation:

Moles in the 20 ml  

   .020 L   *   1.5  moles/L = .03 moles

now in 50 ml   (which is  .05 liters )

      .03 moles / .05 L   = .6 m

as lactic acid accumulates, which compensatory mechanism is initially triggered to maintain acid-base balance?

Answers

When lactic acid accumulates, the compensatory mechanism initially triggered to maintain acid-base balance is the respiratory system. It increases the rate and depth of breathing to eliminate more carbon dioxide, which helps reduce acidity and restore pH balance in the body.

As lactic acid accumulates, the compensatory mechanism that is initially triggered to maintain acid-base balance is increased ventilation or hyperventilation. This is because the increased ventilation leads to a decrease in carbon dioxide (CO2) levels in the blood, which helps to offset the acidic effects of lactic acid accumulation. This is a temporary compensatory mechanism, however, as the body will eventually need to eliminate the excess lactic acid through other means such as metabolism and excretion.

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Name an ester that can be synthesized from propanol and methanoic acid?

Answers

Answer:

Propyl methanoate

Explanation:

The ester that can be synthesized from propanol and methanoic acid is propyl methanoate (also known as methyl propanoate or propyl formate). The reaction between propanol and methanoic acid, which is a carboxylic acid, is a classic example of an esterification reaction, which results in the formation of an ester and water.

When baking soda is heated it decomposes according to the following reaction:


2 NaHCO3(s) ⇌ Na2CO3(s) + H2O(g) + CO2(g)




If sufficient baking soda is placed in a container and heated to 90°C, the total pressure of the gases is 0. 5451 atm. What is the value of Kp at that temperature?

Answers

The value of Kp at 90°C is zero. This indicates that the decomposition of baking soda at this temperature is essentially complete, and the equilibrium lies far to the right.

We can use the expression for the equilibrium constant Kp, which is given by:

Kp = (P([tex]CO_{2}[/tex] ) × P([tex]H_{2} O[/tex])) / (P([tex]Na_{2} CO_{3}[/tex] ))

where P([tex]CO_{2}[/tex]), P([tex]H_{2} O[/tex]), and P([tex]Na_{2} CO_{3}[/tex]) are the partial pressures of carbon dioxide, water vapor, and sodium carbonate, respectively, at equilibrium.

From the balanced equation, we know that for every 2 moles of [tex]NaHCO_{3}[/tex]that decompose, 1 mole of [tex]CO_{2}[/tex] is produced. Therefore, the partial pressure of [tex]CO_{2}[/tex] can be calculated as:

P([tex]CO_{2}[/tex] ) = (1/2) × (total pressure) = 0.2726 atm

Similarly, for every 2 moles of [tex]NaHCO_{3}[/tex] that decompose, 1 mole of Na2CO3 is produced. Therefore, the partial pressure of [tex]Na_{2} CO_{3}[/tex]can be calculated as:

P([tex]Na_{2} CO_{3}[/tex]) = (1/2) × (total pressure) = 0.2726 atm

Finally, the partial pressure of water vapor can be calculated as the difference between the total pressure and the partial pressures of CO2 and [tex]Na_{2} CO_{3}[/tex]:

P([tex]H_{2} O[/tex]) = (total pressure) - P([tex]CO_{2}[/tex]) - P([tex]Na_{2} CO_{3}[/tex]) = 0.5451 - 0.2726 - 0.2726 = 0.0 atm

This means that there is no water vapor present at equilibrium, and we can assume that its partial pressure is zero. Substituting these values into the expression for Kp, we get:

Kp = (P([tex]CO_{2}[/tex]) × P([tex]H_{2} O[/tex])) / (P([tex]Na_{2} CO_{3}[/tex]))

= (0.2726 × 0.0) / 0.2726

= 0.0

Therefore, the value of Kp at 90°C is zero. This indicates that the decomposition of baking soda at this temperature is essentially complete, and the equilibrium lies far to the right.

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6Na + Fez0g -> 3NazO + 2Fe

If you are provided 200g of sodium and 250 grams of iron(Ill) oxide, how much of excess reagent is left?

Answers

The amount of excess reagent that will remain would be 11.76 g.

Stoichiometric problem

To determine the excess reagent in the reaction, we need to first determine which reactant is limiting and which reactant is in excess.

The balanced chemical equation for the reaction is:

6Na + Fe2O3 -> 3Na2O + 2Fe

The molar mass of Na is 23 g/mol, and the molar mass of Fe2O3 is 159.69 g/mol (2 x 55.85 g/mol for Fe + 3 x 16 g/mol for O).

Using the given masses, we can calculate the number of moles of each reactant:

Number of moles of Na = 200 g / 23 g/mol = 8.70 molNumber of moles of Fe2O3 = 250 g / 159.69 g/mol = 1.57 mol

According to the balanced chemical equation, 6 moles of Na react with 1 mole of Fe2O3. Therefore, the number of moles of Na required to react with 1.57 mol of Fe2O3 is:

(1.57 mol Fe2O3) x (6 mol Na/1 mol Fe2O3) = 9.42 mol Na

Since we only have 8.70 mol of Na available, it is the limiting reagent. This means that Fe2O3 is in excess.

To determine the amount of excess Fe2O3, we need to calculate how much Fe2O3 is required to react with 8.70 mol of Na:

(8.70 mol Na) x (1 mol Fe2O3/6 mol Na) x (159.69 g/mol Fe2O3) = 238.24 g Fe2O3

Since we only have 250 g of Fe2O3, the amount of excess Fe2O3 is:

250 g - 238.24 g = 11.76 g

Therefore, the amount of excess Fe2O3 left after the reaction is 11.76 g.

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Why is cerium sulfate (Ce2(SO4)3) the only compound that experiences a dip in solubility as temperature increases?

Answers

Answer: Because its dissolution is exothermic

Explanation:

Question 9 (2 points) (10.03 MC) In a few sentences, describe what this weather map tells you about the weather. (2 points) L H​

Answers

This weather map shows that there is a low pressure system in the north and a high pressure system in the south.

What is weather?

Weather is the study of atmospheric conditions that exist in a specific area over a short period of time. It is the sum of all atmospheric conditions including temperature, humidity, wind, air pressure, cloud cover and precipitation. Weather is an important factor in determining the temperature, humidity and other characteristics of the environment. It affects human activities such as agriculture, transportation and recreation. Weather is dynamic and constantly changing. It is affected by a variety of factors such as solar radiation, air pressure, ocean currents, land topography and human activities. Weather is also affected by climate, which is the average weather pattern over a long period of time. Understanding weather is important for many reasons, including to predict storms and floods, to plan for extreme weather events, and to prepare for natural disasters.

This weather map shows that there is a low pressure system in the north and a high pressure system in the south. The low pressure system is bringing cooler temperatures and precipitation, while the high pressure system is bringing warmer temperatures and clear skies. There is a cold front moving eastward from the north, and a warm front moving eastward from the south.

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if he gas has an average kinetic energy of 6430 j/mol under certain conditions, what is the root mean square speed of f2 gas molecules under the same conditions?

Answers

The root mean square speed of F2 Gas molecules under the same conditions is approximately 582.19 m/s

Given: Average kinetic energy (E_k) = 6430 J/mol
Molar mass of F2 = 2 * Molar mass of F = 2 * 19 g/mol = 38 g/mol (since F has a molar mass of 19 g/mol)

First, let's convert the molar mass of F2 from grams to kilograms:
Molar mass of F2 = 38 g/mol * (1 kg/1000 g) = 0.038 kg/mol

Now, we can use the equation for the average kinetic energy to determine the root mean square speed (v_rms):

E_k = (3/2) * R * T = (1/2) * m * v_[tex]rms^{2}[/tex]

Where R is the universal gas constant (8.314 J/mol K) and T is the temperature in Kelvin.

Since we want to find v_rms, we can rearrange the equation as follows:

v_[tex]rms^{2}[/tex] = (2 * E_k) / m

Plugging in the given values:

v_[tex]rms^{2}[/tex] = (2 * 6430 J/mol) / 0.038 kg/mol = 338947.37[tex]m^{2}/ s^{2}[/tex]

Finally, we take the square root to find the root mean square speed: a

v_rms = √338947.37[tex]rms^{2}[/tex] = 582.19 m/s

So, the root mean square speed of F2 gas molecules under the same conditions is approximately 582.19 m/s.

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if a glass manufacturer has only a few of reducing pollutants, it will .

Answers

If a glass manufacturer has only a few costly ways of reducing pollutants, it will end up paying the pollution tax, option A.

A chemical or energy that is introduced into the environment and has negative consequences or reduces the usability of a resource is referred to as a pollutant or new entity. These can be either anthropogenic in origin (i.e., produced materials or results of biodegradation) or naturally formed (i.e., minerals or extracted chemicals like oil). When pollutants are present in sufficient quantities to have noticeable detrimental effects on the environment or public health, pollution results.

By altering the development rate of plant or animal species, or by affecting human amenities, comfort, health, or property values, a pollution may inflict long- or short-term damage.

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Complete question:

If a glass manufacturer has only a few ________________ of reducing pollutants, it will ____________________ .

A. costly ways; end up paying the pollution tax.

B. inexpensive ways; incur the pollution tax instead.

C. costly ways; do so to minimize its pollution taxes.

D. inexpensive ways; buy the most expensive technology.

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