Answer:
(a) 0.203 moles
(b) 900 K
(c) 900 K
(d) 15 L
(e) A → B, W = 0, Q = Eint = 1,518.91596 J
B → C, W = Q ≈ 1668.69974 J Eint = 0 J
C → A, Q = -2,531.5266 J, W = -1,013.25 J, Eint = -1,518.91596 J
(g) ∑Q = 656.089 J, ∑W = 655.449 J, ∑Eint = 0 J
Explanation:
At point A
The volume of the gas, V₁ = 5.00 L
The pressure of the gas, P₁ = 1 atm
The temperature of the gas, T₁ = 300 K
At point B
The volume of the gas, V₂ = V₁ = 5.00 L
The pressure of the gas, P₂ = 3.00 atm
The temperature of the gas, T₂ = Not given
At point C
The volume of the gas, V₃ = Not given
The pressure of the gas, P₃ = 1 atm
The temperature of the gas, T₂ = T₃ = 300 K
(a) The ideal gas equation is given as follows;
P·V = n·R·T
Where;
P = The pressure of the gas
V = The volume of the gas
n = The number of moles present
R = The universal gas constant = 0.08205 L·atm·mol⁻¹·K⁻¹
n = PV/(R·T)
∴ The number of moles, n = 1 × 5/(0.08205 × 300) ≈ 0.203 moles
The number of moles in the sample, n ≈ 0.203 moles
(b) The process from points A to B is a constant volume process, therefore, we have, by Gay-Lussac's law;
P₁/T₁ = P₂/T₂
∴ T₂ = P₂·T₁/P₁
From which we get;
T₂ = 3.0 atm. × 300 K/(1.00 atm.) = 900 K
The temperature at point B, T₂ = 900 K
(c) The process from points B to C is a constant temperature process, therefore, T₃ = T₂ = 900 K
(d) For a constant temperature process, according to Boyle's law, we have;
P₂·V₂ = P₃·V₃
V₃ = P₂·V₂/P₃
∴ V₃ = 3.00 atm. × 5.00 L/(1.00 atm.) = 15 L
The volume at point C, V₃ = 15 L
(e) The process A → B, which is a constant volume process, can be carried out in a vessel with a fixed volume
The process B → C, which is a constant temperature process, can be carried out in an insulated adjustable vessel
The process C → A, which is a constant pressure process, can be carried out in an adjustable vessel with a fixed amount of force applied to the piston
(f) For A → B, W = 0,
Q = Eint = n·cv·(T₂ - T₁)
Cv for monoatomic gas = 3/2·R
∴ Q = 0.203 moles × 3/2×0.08205 L·atm·mol⁻¹·K⁻¹×(900 K - 300 K) = 1,518.91596 J
Q = Eint = 1,518.91596 J
For B → C, we have a constant temperature process
Q = n·R·T₂·㏑(V₃/V₂)
∴ Q = 0.203 moles × 0.08205 L·atm/(mol·K) × 900 K × ln(15 L/5.00 L) ≈ 1668.69974 J
Eint = 0
Q = W ≈ 1668.69974 J
For C → A, we have a constant pressure process
Q = n·Cp·(T₁ - T₃)
∴ Q = 0.203 moles × (5/2) × 0.08205 L·atm/(mol·K) × (300 K - 900 K) = -2,531.5266 J
Q = -2,531.5266 J
W = P·(V₂ - V₁)
∴ W = 1.00 atm × (5.00 L - 15.00 L) = -1,013.25 J
W = -1,013.25 J
Eint = n·Cv·(T₁ - T₃)
Eint = 0.203 moles × (3/2) × 0.08205 L·atm/(mol·K) × (300 K - 900 K) = -1,518.91596 J
Eint = -1,518.91596 J
(g) ∑Q = 1,518.91596 J + 1668.69974 J - 2,531.5266 J = 656.089 J
∑W = 0 + 1668.69974 J -1,013.25 J = 655.449 J
∑Eint = 1,518.91596 J + 0 -1,518.91596 J = 0 J
in an exothermic reaction, chemical energy is converted to ____ energy.
FILL IN THE BLANK.
MECHANICAL OR THERMAL.
Answer:thermal energy
Explanation:
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What current flows through a 15 ohm fixed resistor when it operates on a 120-volt outlet?
Answer: current is 8.0 A
Explanation: R= U/I I = U/R = 120 V/15 Ω= 8.0 A
Which is true about forensic testing? Forensic scientists must accurately interpret test results Evidence testing is no longer reliable All tests are fully automated Forensic scientists never make mistakes
Answer:
Forensic scientists must accurately interpret test results
Explanation:
Misinterpreting test results could mean someone being falsely accused of a crime which you would want to avoid.
Humans, birds, whales, and lizards all have similar arm bones. What is the reason for this? The function of these bones is the same in all animals They live in similar environments They have a common ancestor All organisms resemble humans
Answer:
They have a common ancestor
Explanation:
Similar arm bones are present in different types of animals as mentioned which are humans, birds, whales and lizards and the reason is that all of them had the same ancestors and eventually the species evolved into present day forms.
Other options are wrong because.
1. Function is these bones obviously are not same as whales have no arms like humans or birds.
2. They do not live in same environment as whales are in oceans and birds are in airborne whereas humans and lizards are land occupying.
3. All animals are different from each other and do not resemble humans.
Therefore the correct answer is that their ancestors were common.
You serve a volleyball with a mass of 2.5 kg. The ball leaves your hand with a speed of 23 m/s. What is the kinetic energy of the ball?
Answer:
661.25, I believe!
Explanation:
KE = (1/2)(2.5)(23)^2
KE=(1.25)(529)
KE= 661.25
4. Priya notices thet the pressure inside one of her car tyres is too low. She pumps up the tyre to a higher pressure. a) What happens to the number of particles in the car tyre? b) What happens to the distance between particles as pressure increase? c) One of the tyres gets a puncture(small hole) . What happens to the pressure inside the tyre?
Answer:
a) the number of particles increases
b) average distance between them should decrease
c) the number of particles decreases, the pressure must also decrease
Explanation:
a) When the girl pumps to increase the pressure inside the tire she introduces more particles. Therefore the number of particles increases
b) as the volume of the tire does not change and there are more particles, the average distance between them should decrease
c) When a hole is opened, some of the particles inside the tire come out, so as the number of particles decreases, the pressure must also decrease
True or False: The same parent rock can produce magmas of different composition if the melting temperature is different.
HELP NOW PLEASE
Answer:
False
Explanation:
Un puente(construido de acero) que conduce hacia una bahía mide 1.30X10-3m entre sus torres de apoyo. ¿Cuánto se dilata el puente durante un día en el que la temperatura alcanza una diferencia de 30°C?
Answer:
ΔL = 0.429 m
Explanation:
The expression for linear thermal expansion is
ΔL = α L₀ ΔT
the coefficient of linear expansion of steel is 11 10⁻⁶ ºC⁻¹
the initial length of the bridge is L₀ = 1.30 10³ m and the temperature variation is ΔT = 30 ºC
calculate
ΔL = 11 10⁻⁶ 1.30 10³ 30
ΔL = 4.29 10⁻¹ m
ΔL = 0.429 m
A 75N horizontal force is sufficient to move a 150N box on a level road at a uniform speed. What is the coefficient of friction between the box and the road?
Answer:
[tex]\mu_k=0.5[/tex]
Explanation:
From the question we are told that:
Force [tex]F=75N[/tex]
Weight [tex]W=150N[/tex]
Generally the equation for coefficient of friction [tex]\mu_k[/tex] is mathematically given by
[tex]\mu_k=\frac{F}{mg}[/tex]
[tex]\mu_k=\frac{75}{150}[/tex]
[tex]\mu_k=0.5[/tex]
Two long straight parallel lines, #1 and #2, carry uniform positive linear charge densities. The charge density on line #2 is twice as great as the charge density on line #1. The locus of points where the electric field due to these lines is zero is
along a line between the lines closer to line #2 than line #1.
at a point midway between the lines.
along a line between the lines closer to line #1 than line #2.
along a line perpendicular to lines #1 and #2.
Answer:
The locus of points where the electric field due to these lines is zero is;
Along the line between the lines closer to line#1 than line #2
Explanation:
The charges on the parallel lines #1 and #2 = Positive linear charge
The charge density on line #2, λ₂ = 2 × The charge density on line #1, λ₁
Therefore, we have;
λ₂ = 2 × λ₁
Electric field strength, E, is given as follows;
[tex]E = \dfrac{\lambda}{2\cdot \pi\cdot \epsilon_0\cdot d}[/tex]
Therefore;
[tex]E_1 = \dfrac{\lambda_1}{2\cdot \pi\cdot \epsilon_0\cdot d}[/tex]
[tex]E_2 = \dfrac{\lambda_2}{2\cdot \pi\cdot \epsilon_0\cdot d} = 2 \times\dfrac{\lambda_1}{2\cdot \pi\cdot \epsilon_0\cdot d}[/tex]
E₂ = 2·E₁
E₂/2 = E₁
E₂/(2·d) = E₁/d
The strength of the electric field at a given distance from line #2 is 2 times the strength of the electric field from line #1 at the same distance
Therefore the strength of the electric field will be the same at a point twice the distance from line #2 than from line #1 which is a point closer to line #1 than line #2.
2. Find the electrostatic force between two protons that are 2.0 m apart. The elementary charge of
a proton is 1.602 x 10-19 C.
Answer:
the electrostatic force between the two protons is 5.775 x 10⁻²⁹ N.
Explanation:
Given;
charge of protons, q = 1.602 x 10⁻¹⁹ C
distance between the two charges, r = 2.0 m
The electrostatic force between the two protons is calculated as;
[tex]F = \frac{kq^2}{r^2}[/tex]
where;
k is coulomb's constant, = 9 x 10⁹ Nm²/C²
[tex]F = \frac{(9\times 10^9)(1.602 \times 10^{-19})^2}{(2)^2} \\\\F = 5.775 \times 10^{-29} \ N[/tex]
Therefore, the electrostatic force between the two protons is 5.775 x 10⁻²⁹ N.
The force between the two protons separated by the distance of 2 m will be [tex]F=5.775\times 10^{-29}\ N[/tex]
What is coulomb's force?The coulomb's force is defined as when two charged particles are separated by the distance r and having charge q then the force will be directly proportional to the product of the charges and inverse to the distance between them.
The coulomb's force will be given by
[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]
Here it is given that
Charge on the proton=[tex]q=1.602\times 10^{-19}\ C[/tex]
The distance between protons = 2 m
The value of constant [tex]k=9\times 10^{-29}\ \dfrac{Nm^2}{C^2}[/tex]
Putting the values in the formula
[tex]F=\dfrac{(9\times 10^9) (1.602\timeds 10^{-19}^)^2}{2^2}[/tex]
[tex]F=5.775\times 10^{-29}\ N[/tex]
Hence the force between the two protons separated by the distance of 2 m will be [tex]F=5.775\times 10^{-29}\ N[/tex]
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Using Ohms Law, calculate the current that would exist in a circuit having a voltage of 240V experiencing 110 Ohms of resistance
To find the Voltage, ( V ) [ V = I x R ] V (volts) = I (amps) x R (Ω)
To find the Current, ( I ) [ I = V ÷ R ] I (amps) = V (volts) ÷ R (Ω)
To find the Resistance, ( R ) [ R = V ÷ I ] R (Ω) = V (volts) ÷ I (amps)
To find the Power (P) [ P = V x I ] P (watts) = V (volts) x I (amps)
How much work does the electric field do in moving a -7.7 hC charge from the ground to a point whose potential is +55 V higher?
what will happen if you increse the amplitude of a drum hit
The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases. As the amplitude of the sound wave increases, the intensity of the sound increases. Sounds with higher intensities are perceived to be louder.
Why are bases of pillars of bridge
made broad?
Answer:
to lower the centre of gravity
Explanation:
What will happen to the size of the Aragorn Sea over time?
How do we use pulleys in real life?
Answer:
Construction pulleys are used in order to lift and place heavy materials. Curtains at a theatre are moved using pulley systems that pull the curtains apart. Blinds on windows operate using a pulley system to move the blinds up and down.
We use pulleys for things like and elevators, cranes, and bikes.
A graph here shows the displacement of two walkers over time. Waliper 1 is graphed in red while walker 2 is graphed
in blue. Which statements are supported by the information in the guaph? Select ALL that apply.
)
Α)
Both walkers had the same speed overall.
B)
Walker 2 was at rest for the first five seconds.
C)
Walker 1 moved faster overall than walker 2 by the end.
D)
Walker 2 moved faster overall than walker 1 by the end.
E)
Both walkers had reached the same distance at fifteen seconds.
Answer:
B) Walker 2 was at rest for the first five seconds. D) Walker 2 moved faster overall than walker 1 by the end. E) Both walkers had reached the same distance at fifteen seconds.
Explanation:
I did the UsaTestPrep
Which statement is false?
A) Doubling the mass halves the acceleration
B) Doubling the force doubles to acceleration
C) Doubling the mass doubles the acceleration
Statement C is false. Doubling the mass doubles the acceleration is the wrong statement.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
Force is defined as the product of mass and acceleration. Its unit is Newton.
Mathematically, the force is;
[tex]\rm F= ma[/tex]
If force is constant, the mass is inversely proportional to the acceleration. If the mass is double in that condition, acceleration is halved.
Doubling the mass doubles the acceleration is the wrong statement.
Hence, statement C is false
To learn more about the force, refer to the link;
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An electron (e = 1.6 x 10-19 C) is traveling at 4.00 x 107 m/s due North in a horizontal plane through a point where the earth’s magnetic field has a component to the North of 2.00 x 10-5 T and a downward (in to the earth) of 5.00 x 10-5 T. Calculate the magnetic force (magnitude and direction) on the electron and its acceleration. Me = 9.11 x 10-31 kg
Answer:
Explanation:
Force on the electron due to magnetic field 's north component will be zero because both velocity of electron and direction of magnetic field are same .
Force due to downward component of magnetic field
= B q v where B is magnetic field , q is charge moving and v is velocity of charge
F = 5 .00 x 10⁻⁵ x 1.6 x 10⁻¹⁹ x 4 x 10⁷
= 32 x 10⁻¹⁷ N
acceleration = F / m where m is mass of electron
= 32 x 10⁻¹⁷ / 9.11 x 10⁻³¹
= 3.5 x 10¹⁴ m/s²
Which of the following is a characteristic of a mechanical wave but not a characteristic of an electromagnetic wave?
Mechanical waves have a crest but no trough is a characteristic of a mechanical wave but not a characteristic of an electromagnetic wave.
What is an electromagnetic wave?The waves that are related to both electricity and magnetism are known as electromagnetic (EM) waves. These waves are made up of time-varying electric and magnetic fields that travel over space.
Mechanical waves have a peak but no dip, which is a mechanical wave characteristic but not an electromagnetic wave characteristic.
Hence, mechanical waves have a crest but no trough is a characteristic of a mechanical wave but not a characteristic of an electromagnetic wave.
To learn more about the electromagnetic wave refer to the link;
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What is the polarity of each of the earths magnetic poles ? Explain you answer
Answer:
When you put un-like poles together (South facing North) you can feel magnetic attraction. In the Northern Hemisphere, your compass needle points North, but if you think about it for a moment, you will discover that the magnetic pole in the Earth's Northern Hemisphere has to be a South polarity.
A baseball is struck home plate and acquires a speed of 60m/s. It rises to a height of 100.0 m above its starting level. Find its speed at the height
Answer:
40 m/s.
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 60 m/s
Height (h) = 100 m
Acceleration due to gravity (g) = 10 m/s²
Final velocity (v) =?
The velocity at height 100 m can be obtained as follow:
v² = u² – 2gh (since the ball is going against gravity)
v² = 60² – (2 × 10 × 100)
v² = 3600 – 2000
v² = 1600
Take the square root of both side
v = √1600
v = 40 m/s
Thus, velocity at height 100 m is 40 m/s
A watch costs Rs. 8136 when it is 10% discounted and 13%
VAT is added then find out discount and VAT amount? By
how much percentage VAT amount is more than discount
amount.
Ans: 17%
Explanation:
lanat kabool kar
What kind of waves can cause the most damage on the earth's surface?
Answer:
Surface waves, in contrast to body waves can only move along the surface. They arrive after the main P and S waves and are confined to the outer layers of the Earth. They cause the most surface destruction. Earthquake surface waves are divided into two different categories: Love and Rayleigh.
Explanation:
Hope this helped Mark BRAINLIEST!!!
Answer:
Surface waves are the seismic waves that cause the most damage.
Explanation:
The object having uniform velocity has zero acceleration, why?
Which of the following is an example of static electricity?
O Lit light bulb
O Charging battery
O Lightning
O Movie streaming on TV
The temperature measured outside the International Space Station is 2.7 Kelvin. How is it possible for empty space to have a temperature?
Answer:
people could just have a space heater or they are wearing warm clothes.
Explanation:
COMMON SENSE!!!!!
What is another term for a pull on an object? O A. Acceleration O B. Speed O c. Force O D. Velocity
Answer:
Acceleration
Explanation:
Which of the following best describes why tidal energy is considered a renewable energy resource? A. The Moon receives energy from the Sun, which is a renewable resource. B. Humans can create more tidal energy by setting up more tidal energy plants. C. Ocean water will never be exhausted. D. Tidal energy is replaced naturally by the Moon's gravity.
Answer:
D. Tidal energy is replaced naturally by the Moon's gravity.
Explanation:
The reason tidal energy is considered a renewable energy resource is that Tidal energy is replaced naturally by the Moon's gravity. The Moon's gravity creates bulges on the side of Earth that is closest and farthest from the Moon. These bulges also pull water causing high tides in those areas. As the Earth rotates these areas experience low tide while the areas that had low tide now experience high tide. This constant shift creates tidal energy every day, which is replenished naturally.