a solution is made by dissolving 0.08100 moles of ba(oh)2 in enough water to make 820.0 ml of solution. what is the ph of the resulting solution?

To calculate the enthalpy of the reaction, we need to use the equation:
q = mCΔT  where q is the heat absorbed or released by the reaction, m is the mass of the solution , C is the specific heat capacity of the solution.

First, we need to calculate the amount of heat absorbed or released by the reaction. Since the reaction is exothermic (it releases heat), q will be negative. We can use the following equation to calculate q:
q = -CΔT
q = -(100 g)(4.18 J/g°C)(3.0°C) = -1254 J
Now we can use the following equation to calculate the enthalpy of the reaction (ΔH):
ΔH = q/n
where n is the number of moles of limiting reactant (in this case, either HCl or NaOH).
To find the number of moles of HCl, we can use the following equation:
n = C × V
where C is the concentration of HCl (0.10 M) and V is the volume of HCl (50.0 mL = 0.050 L).
n = (0.10 M)(0.050 L) = 0.0050 moles
To find the number of moles of NaOH, we can use the same equation:
n = C × V
where C is the concentration of NaOH (0.10 M) and V is the volume of NaOH (50.0 mL = 0.050 L).
n = (0.10 M)(0.050 L) = 0.0050 moles
Since the stoichiometric ratio between HCl and NaOH is 1:1, the number of moles of HCl and NaOH are equal. Therefore, we can use either value for n in the equation for ΔH.
ΔH = -1254 J / 0.0050 moles
ΔH = -250800 J/mol
Therefore, the enthalpy of the reaction is -250.8 kJ/mol.

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The gradual increase or decrease in concentration from one point to another constitutes a concentration gradient. This gradient can occur within a single substance, such as a solution or gas, or between different substances in a system.

Concentration gradients play an important role in various natural and artificial processes, including diffusion, osmosis, and chemical reactions. A concentration gradient is the change in the concentration of a substance over a distance. It often results in the passive or active movement of particles from areas of high concentration to areas of low concentration, a process known as diffusion or transport.

The direction and magnitude of the concentration gradient can influence the rate and direction of these processes, making it a critical parameter to consider in many scientific and engineering applications.

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Yes, the gradual increase or decrease in the amount or density of a substance from one point to another is referred to as a concentration gradient. This can occur in various settings, such as in chemical reactions or in the distribution of molecules within a cell or organism. The concept of concentration is essential in understanding many biological and chemical processes, as it helps to determine how different substances interact and affect one another.

Concentration gradients are important in a wide range of biological, chemical, and physical processes. For example, in the human body, concentration gradients of ions and other molecules are essential for the functioning of cells and tissues. In addition, concentration gradients can drive the diffusion of gases, the movement of water in and out of cells, and many other important biological processes.

Overall, the gradual increase or decrease in concentration from one point to another constitutes a concentration gradient, which is a fundamental concept in many areas of science and engineering.

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Answer: pH=−log(3.1×10−3M)=2.508638306 =2.51

Explanation:

There are two ways you can do this. The easy way is to realize that

HCl

is a strong acid, so its dissociation is considered complete, and

[HCl]=[H+].

EASY WAY

Recall:

pH=−log[H+]

From the knowledge that

pH=−log[H+]=−log[HCl], we can say:

pH=−log(3.1×10−3M)=2.508638306 =2.51

Superficial frostbite is a second-degree frostbite (a type of injury) and results in clear skin blisters.

Frostbite is damage of skin due to cold temperatures. The victim of frostbite is mostly unaware of it because a frozen tissue is numb. It can be cured but depends upon the stages of frostbite. There are three stages of frostbite as given below:

First stage is Frostnip, cause loss of feeling in skin occurs. Skin color becomes red and purple.

Second stage is Superficial Frostbite, cause clear skin blisters. Skin color changes from red to paler. A fluid-filled blister may appear 24 to 36 hours after color changing of skin

Third stage is Deep Frostbite, cause joints or muscles no longer work. Skin color changes to black and the area turns hard.

Redness or pain in any skin area maybe the first sign of frostbite.

Thus, when weather is very cold, stay indoors or dress in layers to prevent serious health problems.

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Superficial frostbite is a type of frostbite that affects the outer layers of the skin and results in localized damage to the skin and underlying tissues. It is considered a mild form of frostbite and usually affects the fingers, toes, ears, nose, and cheeks.

The symptoms of superficial frostbite can include numbness, tingling, stinging, and burning sensations in the affected area. The skin may also appear pale or waxy and may be hard to the touch. In some cases, blisters may form several hours after rewarming the affected area.

If treated promptly and properly, superficial frostbite usually heals without complications. However, if left untreated, it can progress to deeper layers of tissue, leading to more severe frostbite and potential tissue damage.

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The change in the thermal energy of the water in the pond, a mass of 1,000 kg and the specific heat of 4,200 J/(kg. °C) is 4200 kJ.

The Mass of the water of the pond, m = 1,000 kg,

The specific heat of the water, C = 4,200  J/kg °C,

The change in temperature, ΔT =  1 °C,

The change in the thermal energy :

Q = mcΔT

where,

m = mass,

C = specific heat,

ΔT =  change in temperature.

Q = 1000 × 4200 × 1

Q = 4200000 J

Q = 4200 kJ

The change in the thermal energy is 4200 kJ.

Thus, the change in thermal energy of the water in a pond is 4200 kJ.

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The true statements are: a reducing agent gains electrons, Na⁺ is formed from the reduction of Na(s), the oxidation number for Cu(s) is +2, and the oxidation number for Hg(l) is 0, the correct options are 1, 4, 5, and 6.

A reducing agent is a substance that causes reduction by providing electrons to another substance. Thus, a reducing agent gains electrons. Sodium metal (Na) is reduced to form Na⁺ ions by losing one electron. The oxidation state of Na changes from 0 to +1, indicating the loss of one electron.

Copper metal (Cu) has an oxidation state of 0 because it is in its elemental form. However, Cu²⁺ ion has an oxidation state of +2 because it has lost two electrons. The oxidation state of mercury (Hg) in its elemental form (liquid) is 0 because each atom has an equal number of protons and electrons, the correct options are 1, 4, 5, and 6.

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The complete question is:

Which statements are true?

1 a reducing agent gains electrons

2 Zn²⁺ is formed from the oxidation of Zn(s)

3 an oxidizing agent gains electrons

4 Na⁺ is formed from the reduction of Na(s)

5 the oxidation number for Cu(s) is +2

6 the oxidation number for Hg(l) is 0

Answer:

Explanation:

i) Most acidic: 2,4-dichlorobutyric acid

ii) Intermediate acidity: 2,3-dichlorobutyric acid

iii) Least acidic: 3,3-dimethylbutyric acid

The acidity of a compound is determined by the stability of its conjugate base. A stronger acid will have a more stable conjugate base. In this case, the presence of electron-withdrawing groups like chlorine atoms in the carboxylic acid group increases the acidity of the compound by stabilizing the negative charge on the conjugate base.

Comparing the three compounds, 2,4-dichlorobutyric acid has two chlorine atoms which are more electronegative than the methyl groups present in the other compounds. The presence of these electron-withdrawing groups increases the acidity of the compound, making it the most acidic of the three.

2,3-dichlorobutyric acid has only one chlorine atom in the carboxylic acid group, making it less acidic than 2,4-dichlorobutyric acid but more acidic than 3,3-dimethylbutyric acid.

3,3-dimethylbutyric acid does not have any electron-withdrawing groups in the carboxylic acid group, making it the least acidic of the three compounds.

A sample of 35.1 g of methane gas has a volume of 2.55 l at a pressure of 2.70 atm. The temperature of the sample of methane gas is 224.8 K.

The temperature of the sample of methane gas can be calculated using the ideal gas law equation, PV = nRT, where P is the pressure in atmospheres, V is the volume in liters, n is the amount of gas in moles, R is the ideal gas constant, and T is the temperature in Kelvin.

Since the pressure and volume are given, we can calculate the moles of methane gas using the relationship n= PV/RT.

Plugging in the given values, n = (2.7 atm)(2.55 L)/(0.08206 L·atm/mol·K)(T) = 0.824 mol.

Then, rearranging the ideal gas law equation, T = PV/nR, and plugging in our values, T = (2.7 atm)(2.55 L)/(0.824 mol)(0.08206 L·atm/mol·K) = 224.8 K.

As a result, the sample of methane gas had a temperature of 224.8 K.

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Centrifugation, chromatography, and long standing are the procedures that would work well for separating a colloid mixture but would not be effective with solutions.

Stratification that is "inverted" is created when the larger colloids are forced to the bottom. The reason for this qualitative segregation is that evaporation causes a local rise in colloid concentration close to the film-air contact, which results in a chemical potential gradient for both colloid species.

Dialysis: The removal of ions from a solution through the diffusion process through a permeable membrane is known as dialysis. This procedure involves filling a permeable membrane bag with a sol made up of ions or molecules and submerging it in water.

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Answer:

centrifugation

boiling/heating

long standing

Explanation: I just got it right

16 moles of NH3 are required to produce 12 moles of NH4Cl.

Given the balanced equation:

3Cl2 + 8NH3 → N2 + 6NH4Cl

To determine how many moles of NH3 are required to produce 12 moles of NH4Cl, we can use the stoichiometry of the equation. We can see that 6 moles of NH4Cl are produced from 8 moles of NH3.

Follow these steps:

1. Write down the balanced equation:
  3Cl2 + 8NH3 → N2 + 6NH4Cl

2. Determine the stoichiometric ratio between NH3 and NH4Cl:
  8 moles of NH3 : 6 moles of NH4Cl

3. Calculate the moles of NH3 needed to produce 12 moles of NH4Cl using the stoichiometric ratio:
  (8 moles of NH3 / 6 moles of NH4Cl) * 12 moles of NH4Cl = 16 moles of NH3

16 moles of NH3 are required to produce 12 moles of NH4Cl.

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Given the equation 3[tex]Cl_{2}[/tex] + 8[tex]NH_{3}[/tex] = [tex]N_{2}[/tex] + 6 [tex]NH_{4}Cl[/tex], 16 moles of [tex]NH_{3}[/tex] are required to produce 12 moles of  [tex]NH_{4}Cl[/tex].

To know how many moles of [tex]NH_{3}[/tex] are required to produce 12 moles of  [tex]NH_{4}Cl[/tex], we can follow the steps below:

Step 1: Determine the mole ratio between [tex]NH_{3}[/tex] and  [tex]NH_{4}Cl[/tex] from the balanced equation. In this case, it is 8 moles of [tex]NH_{3}[/tex] to 6 moles of  [tex]NH_{4}Cl[/tex].

Step 2: Set up a proportion to find the moles of NH3 needed for 12 moles of  [tex]NH_{4}Cl[/tex]:
(8 moles [tex]NH_{3}[/tex] / 6 moles  [tex]NH_{4}Cl[/tex]) = (x moles [tex]NH_{3}[/tex] / 12 moles  [tex]NH_{4}Cl[/tex])

Step 3: Solve for x:
x moles [tex]NH_{3}[/tex] = (8 moles [tex]NH_{3}[/tex] / 6 moles [tex]NH_{4}Cl[/tex]) * 12 moles  [tex]NH_{4}Cl[/tex]

Step 4: Calculate x:
x moles [tex]NH_{3}[/tex] = (8/6) * 12 = 16 moles [tex]NH_{3}[/tex]

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250 mL of the 95.6% sulphuric acid should be added to 750 mL of the 40% sulphuric acid to obtain 1 L of 50% sulphuric acid with a density of 1.40 g/mL.

Let x be the volume of the 95.6% sulphuric acid to be added (in mL). Then, the volume of the 40% sulphuric acid to be used is (1000 - x) mL.

To find the amount of sulphuric acid in grams, we can use the formula:

Using this formula for both solutions and adding the masses, we get:

Simplifying and solving for x, we get:

Therefore, 250 mL of the 95.6% sulphuric acid should be added to 750 mL of the 40% sulphuric acid to obtain 1 L of 50% sulphuric acid with a density of 1.40 g/mL.

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The pH of the solution after the addition of 10.0 mL of base is 3.35.

The balanced chemical equation for the reaction between nitrous acid and sodium hydroxide is:

HNO2 + NaOH → NaNO2 + H2O

Before any base is added, the nitrous acid solution is acidic, and so the pH is less than 7. The nitrous acid dissociates in water according to the following equilibrium:

HNO2 + H2O ⇌ H3O+ + NO2-

The equilibrium constant for this reaction is the acid dissociation constant, Ka, which is given by:

Ka = [H3O+][NO2-] / [HNO2]

At equilibrium, the concentration of nitrous acid that has dissociated is equal to the concentration of hydroxide ions that have been neutralized by the acid:

[HNO2] - [OH-] = [NO2-]

Initially, the concentration of nitrous acid in the solution is:

[HNO2] = 0.100 mol/L × 0.0400 L = 0.00400 mol

When 10.0 mL of 0.200 M sodium hydroxide solution is added, the number of moles of hydroxide ions added is:

[OH-] = 0.200 mol/L × 0.0100 L = 0.00200 mol

Using the stoichiometry of the balanced equation, the number of moles of nitrous acid that have reacted is also 0.00200 mol.

The concentration of nitrous acid remaining in the solution after the addition of base is:

[HNO2] = (0.00400 mol - 0.00200 mol) / 0.0500 L = 0.0400 mol/L

The concentration of nitrite ion in the solution is equal to the concentration of hydroxide ions that have been neutralized by the acid:

[NO2-] = [OH-] = 0.00200 mol / 0.0500 L = 0.0400 mol/L

The acid dissociation constant for nitrous acid is Ka = 4.5 × 10^-4 at 25°C.

Using the expression for the equilibrium constant, we can solve for the concentration of hydronium ions:

Ka = [H3O+][NO2-] / [HNO2]

[H3O+] = Ka × [HNO2] / [NO2-] = 4.5 × 10^-4 × 0.0400 mol/L / 0.0400 mol/L = 4.5 × 10^-4

Therefore, the pH of the solution after the addition of 10.0 mL of sodium hydroxide solution is:

pH = -log[H3O+] = -log(4.5 × 10^-4) = 3.35

So the pH of the solution after the addition of 10.0 mL of base is 3.35.

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A chemist involved in researching the reaction that yields the most ethanol from crops is most likely considered to be working in the field of Applied Chemistry.

Applied Chemistry is a sub-discipline of chemistry that deals with the practical application of chemical principles and techniques to solve real-world problems. It involves the design, development, and optimization of chemical processes and products that are used in various industries such as agriculture, pharmaceuticals, energy, and materials science.

In this case, the chemist is applying their knowledge of chemical reactions and processes to optimize the production of ethanol from crops. This involves understanding the chemical composition of the crops, identifying the most efficient methods of converting them to ethanol, and optimizing the reaction conditions to maximize yield.

Biochemistry, on the other hand, is a sub-discipline of chemistry that focuses on the chemical processes and substances that occur within living organisms. Pure chemistry, also known as theoretical chemistry, is a sub-discipline of chemistry that is concerned with developing theories and models to explain chemical phenomena, without necessarily applying them to practical problems.

Albert Einstein, on the other hand, was a theoretical physicist who is widely regarded as one of the most influential scientists of the 20th century, known for his groundbreaking work on relativity and quantum mechanics.

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The Apollo capsules initially used a pure oxygen atmosphere instead of a nitrogen/oxygen mixture primarily because it was lighter and simpler to manage. However, following the Apollo 1 fire tragedy, the later Apollo missions switched to a nitrogen/oxygen mixture for air during ground testing and launch, as it was indeed less flammable and provided better safety for the astronauts.

The Apollo capsules did not use a nitrogen/oxygen mixture for air because pure oxygen was necessary for the astronauts to breathe in the low-pressure environment of space. However, the pure oxygen mixture used in earlier missions was highly flammable and posed a significant risk to the astronauts. To reduce the risk, Apollo missions used a less flammable 60/40 nitrogen/oxygen mixture for the cabin atmosphere during launch and re-entry, and switched to pure oxygen during the mission when the pressure was reduced to a safe level.

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Answer:

............................................

The pH of the buffer solution after the addition of 0.01 mol of NaOH is approximately 4.78.

To find the pH of the buffer solution after the addition of 0.01 mol of NaOH, we'll need to use the Henderson-Hasselbalch equation and consider the reaction between the base (NaOH) and the weak acid (propionic acid, HC₃H₅O₂).

1. Write the reaction between NaOH and HC₃H₅O₂:
NaOH + HC₃H₅O₂ -> NaC₃H₅O₂ + H2O

2. Determine the initial concentrations of the weak acid and its conjugate base:
[HC₃H₅O₂] = 0.15 mol / 1.20 L = 0.125 M
[NaC₃H₅O₂] = 0.10 mol / 1.20 L = 0.0833 M

3. Calculate the change in concentrations after the reaction with NaOH:
0.01 mol of NaOH will react with 0.01 mol of HC₃H₅O₂, decreasing its concentration by 0.01 mol and increasing the concentration of NaC3H5O2 by the same amount:
[HC₃H₅O₂] final = 0.125 M - 0.01 mol/L = 0.115 M
[NaC₃H₅O₂] final = 0.0833 M + 0.01 mol/L = 0.0933 M

4. Use the Henderson-Hasselbalch equation to find the pH:
pH = pKa + log([A-]/[HA])
The pKa of propionic acid is 4.88.
pH = 4.88 + log(0.0933 M / 0.115 M)

5. Calculate the pH:
pH ≈ 4.88 - 0.10 = 4.78

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Answer:

C5H12 + O2 ---> CO2 + H20
B -> Combustion

Particles in which state of matter are the most likely to interact with each other to cause a chemical reaction?
B -> liquid

Identify this reaction

C + S8 ---> CS2

A -> Synthesis

3. Identify this reaction

Al + S2 ---> Al2S3
A -> Synthesis

Explanation:

For the first question, you must remember that when you have a chemical reaction in which the products are CO2 (Carbon Dioxide) and H2O (water), you are examining a combustion reaction.

For the second question, the answer must be "liquid" because it is simply the easiest to use in a lab reaction. Solids tend to remain intact while liquids can easily mix, causing atoms to interact much more frequently. Atoms in gases are too spread out to be as likely to interact as in liquids.

For the third question, the answer must be "synthesis" because the simple combination of two reactants that results in a single product (maintaining the proper ratio outlined by its reactants) is a synthesis.

For the final question, the answer must also be "synthesis" for the same reasons as outlined in the previous reaction.

The primary benefit of using a collimator on a Rinn Bai instrument with the bisecting technique is that it helps to limit the size and shape of the x-ray beam, ensuring that only the area of interest is exposed to radiation.

This not only reduces the amount of radiation that the patient is exposed to, but also helps to improve the accuracy of the resulting image by reducing scatter and improving the overall contrast and clarity of the image.

In short, the collimator serves as a crucial tool for ensuring that the bisecting technique is performed safely and accurately. The collimator serves as a barrier that narrows the X-ray beam, limiting its spread and focusing it on the area of interest, thereby producing a sharper image with less scatter radiation.

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The primary benefit of using a collimator on a Rinn BAI instrument with the bisecting technique is that it helps reduce radiation exposure and improve image quality.

Using a collimator on a Rinn BAI instrument with the bisecting technique provides the following benefits:

1. Reduces radiation exposure: By limiting the X-ray beam size and shape to the area of interest, a collimator helps minimize the patient's exposure to radiation.

2. Improves image quality: A collimator helps produce sharper images by reducing scatter radiation, which can cause image blurring.

3. Enhances diagnostic accuracy: By producing high-quality images with less radiation exposure, a collimator helps dental professionals make accurate diagnoses and treatment decisions.

In summary, the primary benefit of using a collimator on a Rinn BAI instrument with the bisecting technique is the reduction of radiation exposure and improvement in image quality, leading to better patient care and more accurate diagnoses.

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The cell potential when 0.5 m c u(no3)2 and 1.0 m pb(no3)2 are used is 0.41 V at 298 K.

The cell capability of a galvanic cell can be resolved utilizing the Nernst condition, which relates the standard cell potential, the response remainder, and the groupings of the species in question.

For this situation, the fair condition for the response is:

Cu2+(aq) + Pb(s) → Cu(s) + Pb2+(aq)

Involving the standard decrease possibilities for every half-response, the standard cell potential, E°cell, can be determined as:

E°cell = E°(reduction at cathode) - E°(reduction at anode)

= E°(Cu2+(aq) + 2e-→ Cu(s)) - E°(Pb2+(aq) + 2e-→ Pb(s))

= +0.34 V - (- 0.13 V)

= +0.47 V

The response remainder, Q, can be determined utilizing the groupings of the species in question:

Q = [Cu2+][Pb2+]/[Cu][Pb]

= (0.5 M)(1.0 M)/(1.0 M)(1.0 M)

= 0.50

At 298 K, the Nernst condition can be composed as:

Ecell = E°cell - (RT/nF)lnQ

where R is the gas steady, T is the temperature in kelvins, n is the quantity of electrons moved in the response, F is the Faraday consistent, and ln is the normal logarithm. Subbing the qualities determined over, the cell potential can be determined as:

Ecell = 0.47 V - [(8.314 J/(mol K))(298 K)/(2 mol e-/F)]ln(0.50)

= 0.41 V

In this way, the cell potential when 0.5 M Cu(NO3)2 and 1.0 M Pb(NO3)2 are utilized is 0.41 V at 298 K, utilizing the determined E°cell esteem and the Nernst condition.

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Adults' armpit and vaginal hair likely serves the function of preventing friction and irritability during physical exertion.

Hooves, horns, and antlers are other portions of an animal's anatomy that must be made of material that is very similar to hair and nails.

Seasonal Affective illness (SAD) sufferers may find it easier to live in areas of the world with more daylight and longer daylight hours because these elements can lessen the symptoms of the illness.

It's crucial to use the ABCDE method while analyzing a spot on a friend's shoulder to check for the following indicators:

Your acquaintance should visit a doctor if the blemish displays any of these symptoms since it may be an indication of skin cancer.

Infection, inflammation, or injury are just a few of the situations that can cause an elevated skin temperature.

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Answer:

using the formula

v1/T1 =V2T2

make V2 subject of formula

V2= V1T2/T1

V2= 724mL

The volume of this gas at the 190°C will be 423 ml.

We can resolve this issue by applying Charles' law. According to Charles' law, a gas's volume is directly inversely proportionate to its Kelvin temperature. To resolve this issue, we can apply the formula shown below:

[tex]\large{\implies{\bf{\boxed{\boxed{\dfrac{V1}{T1} = \dfrac{V2}{T2} }}}}}[/tex]

Where,

The temperatures must first be converted from Celsius to Kelvin. By raising each temperature by 273.15, we may achieve this.

Initial temperature (T1) is equal to 275 + 273 K.

500 mL is the initial volume (V1).

Final volume (V2) = Final temperature (T2) = 190 + 273.15 = 463.15 K Final temperature (T2) =?

V1/T1 = V2/T2

500/548.15 = V2/463.15

V2 = (500/548.15) * 463.15

V2 ≈ 423 mL

Therefore, at a temperature of 190°C, the volume of this gas would be approximately 423 mL.

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Answer:

data given

volume 1.5l

molarity2.5

Required mass to be added

Explanation:

from

molarity =mass/molar mass ×volume

3.1=m/58.5×1.5

m=272g

also,

2.5=m/58.5×1.5

m=219.38

now,

mass increased =272-219.38

m=52.62

: . mass increased is 52 62g

The molarity of a solution prepared by dissolving 29.3 g KCl in water to a final volume of 500.0 ml is 0.786 M.

To calculate the molarity of a solution, follow these steps:
1. Determine the number of moles of solute (KCl) dissolved.
2. Convert the final volume of the solution to litres.
3. Calculate molarity using the formula: Molarity = moles of solute/volume of solution in litres.
Step 1: Determine the number of moles of KCl dissolved
- Molecular weight of KCl = 39.1 g/mol (K) + 35.45 g/mol (Cl) = 74.55 g/mol
- Moles of KCl = mass of KCl / molecular weight of KCl
- Moles of KCl = 29.3 g / 74.55 g/mol ≈ 0.393 moles
Step 2: Convert the final volume of the solution to litres
- Volume of solution = 500.0 mL = 500.0 / 1000 = 0.5 L
Step 3: Calculate the molarity
- Molarity = moles of solute/volume of solution in litres
- Molarity = 0.393 moles / 0.5 L ≈ 0.786 M
The molarity of the KCl solution is approximately 0.786 M.

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The molarity of the solution prepared by dissolving 29.3 g of KCl in water to a final volume of 500.0 ml is 0.786 M.

Explanation:

To find the molarity of the solution, first, calculate the number of moles of KCl in the solution.

The molecular weight of KCl is 74.55 g/mol [39.10 g/mol for potassium + 35.45 g/mol for chlorine].

Given the mass of KCl = 29.3 g
The number of moles of KCl is calculated by the formula:
moles of KCl = mass of KCl / molecular weight of KCl
moles of KCl = 29.3 g / 74.55 g/mol
moles of KCl = 0.393 moles

Molarity is defined as the number of moles of solute dissolved in 1 L of solution.
molarity of solution = moles of solute/volume of solution in liters

Therefore, the molarity of the solution can be calculated by:
molarity of solution = 0.393 moles / 0.5 L
Molarity of solution = 0.786 M

Therefore, the molarity of the solution prepared by dissolving 29.3 g of KCl in water to a final volume of 500.0 ml is 0.786 M.

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The simplified answer to the multiplication of the [tex]$\frac{15y^3}{8ay} \times \frac{2a}{3y}$[/tex] expression is [tex]$\frac{5y^2}{2a}$[/tex].

To multiply the given expression, we need to first simplify each fraction.

Starting with the first fraction:

[tex]$\frac{15y^3}{8ay}$[/tex]

We can simplify this fraction by canceling out the common factors in the numerator and denominator.

[tex]$\frac{15y^3}{8ay} = \frac{35yyy}{222ay}[/tex]

[tex]= \frac{35y^2}{22a}[/tex]

[tex]= \frac{15y^2}{4a}$[/tex]

Now we simplify the second fraction:

2a/3y

We can also simplify this fraction by canceling out the common factors in the numerator and denominator.

2a/3y = 2/(3y)

Now that we have simplified both fractions, we can multiply them together:

[tex]$\frac{15y^2}{4a} \times \frac{2}{3y}$[/tex]

Multiplying the numerators and denominators together gives:

[tex]$\frac{15y^2 \times 2}{4a \times 3y}[/tex]

[tex]= \frac{30y^2}{12ay}[/tex]

[tex]= \frac{5y^2}{2a}$[/tex]

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The salt concentration of each of the four buffer solutions is given by the means of the function which is provided.

When an acid or a basic is supplied, buffers maintain a pH that is comparatively stable. As a result, they shield—or "buffer,"—other molecules in solution from the negative consequences of the extra acid or base. Buffers are vital for the correct operation of biological systems because they either contain a weak acid (HA) and its conjugate base (A), or a weak base (B) and its conjugate acid (BH+). In actuality, every biological fluid has a buffer to keep the pH at a healthy level.

Salinity (/slnti/), commonly known as saline water (also see soil salinity), is the degree of saltiness or quantity of salt dissolved in a body of water. The standard units of measurement are grammes of salt per litre (g/L) or grammes per kilogramme (g/kg; the latter is dimensionless and equal to ).

Salinity is a thermodynamic state variable that, along with temperature and pressure, controls physical properties like the density and heat capacity of the water. Salinity plays a significant role in defining many elements of the chemistry of natural waters and of biological activities within them.

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The salt concentration of each of the four buffer solutions (equilibration, binding, wash, and elution) plays a crucial role in their respective functions during protein purification.

1. Equilibration buffer: This buffer is used to prepare the column and adjust its conditions to match the sample's salt concentration. A moderate salt concentration helps maintain protein stability and prevents non-specific interactions.

2. Binding buffer: This buffer has a specific salt concentration to promote the target protein's binding to the resin, while minimizing non-specific binding of other proteins. The concentration ensures optimal interactions between the protein and the resin's functional groups.

3. Wash buffer: The salt concentration in the wash buffer is slightly higher than that in the binding buffer. This helps remove weakly bound and unbound contaminants, while keeping the target protein attached to the resin.

4. Elution buffer: The salt concentration in the elution buffer is the highest among the four solutions. This high salt concentration competes with the target protein for binding sites on the resin, causing the protein to be released from the column and collected in the eluate.

Overall, the varying salt concentrations in these buffers aid in the separation and purification of the target protein through a step-wise process.

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The mass of silver chloride produced is 7.24 grams.  To determine the limiting reactant,

we need to calculate the amount of product that each reactant would produce if reacted completely, and the reactant that produces the least amount of product will be the limiting reactant.

First, we need to write the balanced chemical equation for the reaction:

3 AgNO₃ + FeCl₃ --> 3 AgCl + Fe(NO₃)³

The molar mass of AgNO₃ is 169.87 g/mol (107.87 g/mol for Ag, 14.01 g/mol for N, and 3 x 16.00 g/mol for 3 O atoms). The molar mass of FeCl₃ is 162.20 g/mol (55.85 g/mol for Fe and 3 x 35.45 g/mol for 3 Cl atoms).

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

Number of moles of AgNO₃ = 27.0 g / 169.87 g/mol = 0.159 moles

Number of moles of FeCl₃ = 43.5 g / 162.20 g/mol = 0.268 moles

According to the balanced equation, 3 moles of AgNO₃ react with 1 mole of FeCl₃ to produce 3 moles of AgCl. Therefore, if all the AgNO₃ were to react, we would expect to produce:

3 moles AgCl / 3 moles AgNO₃ x 0.159 moles AgNO₃ = 0.159 moles AgCl

Similarly, if all the FeCl₃ were to react, we would expect to produce:

1 mole AgCl / 1 mole FeCl₃ x 0.268 moles FeCl₃ = 0.268 moles AgCl

Since the calculated amount of AgCl from AgNO₃ is smaller than that from FeCl₃, AgNO₃ is the limiting reactant. Therefore, we can calculate the amount of AgCl produced based on the moles of AgNO₃:

1 mole AgCl / 3 moles AgNO₃ x 0.159 moles AgNO₃ x 143.32 g/mol AgCl = 7.24 g AgCl

Therefore, the mass of silver chloride produced is 7.24 grams.

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Given: NaOH, H₂SO₄. Wanted: Na₂SO₄.

Percent yield = (325 g / 355.1 g) × 100 = 91.5%

molar mass of Na₂SO₄ is 142.04 g/mol.

The mole ratio needed is 2:1 (two moles of NaOH react with one mole of H₂SO₄ to produce one mole of Na₂SO₄).

The molar mass of Na₂SO₄ is 142.04 g/mol.

To determine the theoretical yield, we need to first calculate the limiting reagent.

Using the mole ratio, we can calculate the number of moles of H₂SO₄ required to react with 5.00 moles of NaOH:

5.00 mol NaOH × (1 mol H₂SO₄ / 2 mol NaOH) = 2.50 mol H₂SO₄

Since we have 7.00 moles of H₂SO₄, it is in excess and NaOH is the limiting reagent.

The number of moles of Na₂SO₄ that can be produced is:

5.00 mol NaOH × (1 mol Na₂SO₄ / 2 mol NaOH) = 2.50 mol Na₂SO₄

The theoretical yield of Na₂SO₄ is:

2.50 mol Na₂SO₄ × 142.04 g/mol = 355.1 g Na₂SO₄

The percent yield is calculated by dividing the actual yield (325 g) by the theoretical yield (355.1 g) and multiplying by 100:

Percent yield = (325 g / 355.1 g) × 100 = 91.5%

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Using Boyle's law, If pressure is increased to 3.25 atm, then the gas occupy volume will decrease from 248 mL to 76. 308 mL. So, option( b) is right answer.

Boyle's Law : It is states as the pressure on a gas increases, the volume of the gas decreases because the gas particles are forced closer together. Mathematically, at constant temperature, P₁ V₁ = ₂V₂

where, P₁ --> initial pressure

P₂ ---> final pressure

V₁ --> initial volume

V₂ --> final volume

The occupy volume of a gas, V = 248 mL

Pressure, P = 1.00 atm

If the pressure is increased to 3.25 atm, then we will determine the volume of gas. Using the Boyle's law equation, P₁ V₁ = P₂ V₂

here, P₁= 1 atm , P₂ = 3.25 atm, V₁ = 248 mL

Substitute all known values in above formula,

=> 1 atm × 248 mL = 3.25 atm × V₂

=> V= 248/3.25 mL = 76. 308 mL

Hence, required value is 76. 308 mL.

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(a) With charge and size increase, lattice energy of ionic solid increases. (b) KI (low charges, large ions) < LiBr (low charges, medium-sized ions) < MgS (high charges, medium-sized ions) < GaN (very high charges, small ions)

(a) The lattice energy of an ionic solid depends on two factors: the charges of the ions and the sizes of the ions.

(i) As the charges of the ions increase, the lattice energy of an ionic solid increases. This is because the electrostatic attraction between the ions becomes stronger with higher charges, leading to a more stable and higher-energy lattice.

(ii) As the sizes of the ions increase, the lattice energy of an ionic solid decreases. Larger ions have a greater distance between their positive and negative charges, which weakens the electrostatic attraction between them and results in a lower-energy lattice.

(b) To arrange the substances according to their expected lattice energies, consider the charges and sizes of the ions:

MgS: Mg²⁺ and S²⁻ - high charges, medium-sized ions
KI: K⁺ and I⁻ - low charges, large ions
GaN: Ga³⁺ and N³⁻ - very high charges, small ions
LiBr: Li⁺ and Br⁻ - low charges, medium-sized ions

Based on this information, the substances can be arranged as follows (from lowest lattice energy to highest):

KI (low charges, large ions) < LiBr (low charges, medium-sized ions) < MgS (high charges, medium-sized ions) < GaN (very high charges, small ions)

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(a) The lattice energy of an ionic solid generally increases as the charges of the ions increase and/or as the sizes of the ions decrease.

(b) The substances arranged according to their expected lattice energies from lowest to highest are: KI < LiBr < MgS < GaN.

(a) The lattice energy of an ionic solid:
(i) Increases as the charges of the ions increase, because the electrostatic force between the ions becomes stronger, leading to a more stable lattice.
(ii) Decreases as the sizes of the ions increase, because the distance between the ions increases, which results in a weaker electrostatic force and lower lattice energy.

(b) To arrange the following substances according to their expected lattice energies from lowest to highest, we need to consider both the charges and the sizes of the ions:

1. KI (large ions, lower charges): K⁺ has a +1 charge, and I⁻ has a -1 charge. Both ions are relatively large.
2. LiBr (smaller ions, lower charges): Li⁺ has a +1 charge, and Br⁻ has a -1 charge. Both ions are smaller than K⁺ and I⁻.
3. MgS (smaller ions, higher charges): Mg²⁺ has a +2 charge, and S²⁻ has a -2 charge. Both ions are smaller than K⁺ and I⁻, and their charges are higher than LiBr.
4. GaN (small ions, higher charges): Ga³⁺ has a +3 charge, and N³⁻ has a -3 charge. Both ions are small, and their charges are the highest among the listed substances.

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The correct definition of work is: net force applied through a distance in order to displace an object.

In physics, work is defined as the energy transferred to or from any object by means of force acting on the object as it moves through displacement.

More specifically, work is calculated as the product of force acting on an object and distance the object is displaced, multiplied by cosine of the angle between the force and displacement. Mathematically, work can be expressed as W = Fd cos(theta), where W is work, F is the force, d is displacement, and theta is angle between the force and displacement vectors.

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