Average Translational Kinetic Energy: P & V Given

In summary, the conversation discusses the calculation of average translational kinetic energy for a gas, but the question only provides values for pressure and volume, making it difficult to determine the necessary temperature. The speaker suggests assuming room temperature and determining the type of gas based on the mass of its atoms.
  • #1
hairey94
15
2
Homework Statement
The pressure of a 0.02 m3 monoatomic gas in a container is 2 atm. The mass of each atom is 3.351 x 10^-23 g. Calculate the average translational kinetic energy of the gas.
Relevant Equations
Ktr = (3/2) (R/NA) T = (3/2)kT
U = NKtr = (3/2) nRT = (3/2)NkT
If this question asked for internal energy, then it is a straightforward thing, just use the formula U = (3/2) nRT = (3/2) PV. But the question specifically asked for average translational kinetic energy which I'm stuck with the value of T to plug in into the formula as the question only give us P and V. So no value for n and T.
 
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  • #2
I think they might want you to calculate the average kinetic energy of an atom of the gas, but it's slightly unclear. They should have specified a temperature also. Using room temperature ## T=295 ## K might be a good assumption.
The mass of each atom appears to be extra information, that is not needed to solve the problem, but it will tell you what type of gas. What is the mass of a proton or neutron? You can compute the atomic weight, and then determine what gas it is.
 

1. What is average translational kinetic energy?

Average translational kinetic energy is the average energy associated with the movement of particles in a system. It is a measure of the overall motion of the particles and is dependent on their mass and velocity.

2. How is average translational kinetic energy calculated?

The average translational kinetic energy can be calculated by using the formula E = 1/2mv^2, where m is the mass of the particles and v is their velocity.

3. What is the relationship between average translational kinetic energy and pressure?

There is a direct relationship between average translational kinetic energy and pressure. As the average kinetic energy of particles increases, so does the pressure of the system. This is because the faster-moving particles collide with the walls of the container more frequently and with more force, resulting in a higher pressure.

4. How does temperature affect average translational kinetic energy?

Temperature is directly proportional to average translational kinetic energy. As the temperature of a system increases, the average kinetic energy of the particles also increases. This is because temperature is a measure of the average kinetic energy of the particles in a system.

5. Can average translational kinetic energy be used to determine the velocity of particles?

Yes, the average translational kinetic energy can be used to determine the velocity of particles by rearranging the formula E = 1/2mv^2 to solve for v. However, this will only give the average velocity of particles in a system, not the individual velocities of each particle.

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