Ideal Gas Partition: Final Temp & Total Energy Change

In summary, two ideal gases of N1, V1, T1, and Cv1 and N2, V2, T2, and Cv2 are separated by a partition. They are in thermal contact and reach a final temperature. For part a, the final temperature and total change in energy of the combined system can be found by setting N1=N2, V1=V2, and Cv1=Cv2. For parts b and c, the total change in a quantity H and A can be evaluated for each component and the entire system.
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oxman
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Two ideal gases are separated by a partition which does not allow molecules to pass from one volume to the other. Gas 1 has: N1, V1, T1, Cv1 for the number of molecules, volume it occupies, temperature in kelvin, and specific heat per molecule at constant volume respectively. Gas 2 has: N2, V2, T2, Cv2. The two gases are in thermal contact and reach a final temperature

a) find the final temperature and the total change in energy of the combined system. Check your answer for the final temperature when N1=N2, V1=V2. Cv1=Cv2

b)Evaluate the total change ina quantity H whose differential change is dH=dU+Vdp for each component and for the entire system

c)evaluate the total change in a quantity A whose differential change is dA=(dU+pdV)/T for each component and for the entire system

I am having trouble with b and c

U=NVCvdT

I already solved for the final temperature for part a, and when evaluated at equal N and V i got Tf=(T2+T1)/2
 
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Related to Ideal Gas Partition: Final Temp & Total Energy Change

1. What is an ideal gas partition?

An ideal gas partition is a theoretical concept that assumes a gas is composed of particles that have no volume and do not interact with each other. This allows for simpler calculations and predictions of gas behavior.

2. How is the final temperature of an ideal gas partition determined?

The final temperature of an ideal gas partition is determined by the initial temperature, the volume, the number of moles, and the type of gas. It can be calculated using the ideal gas law equation: PV = nRT, where P is pressure, V is volume, n is number of moles, R is the universal gas constant, and T is temperature.

3. What factors affect the total energy change in an ideal gas partition?

The total energy change in an ideal gas partition is affected by changes in temperature, pressure, volume, and number of moles. It is also influenced by the type of gas, as different gases have different molar masses and therefore different energy values.

4. Can the final temperature of an ideal gas partition ever be negative?

No, the final temperature of an ideal gas partition cannot be negative. According to the ideal gas law, temperature is directly proportional to pressure and inversely proportional to volume. If the temperature were to reach absolute zero, the volume would be zero and the pressure would be infinite, which is physically impossible.

5. How does an ideal gas partition differ from a real gas?

An ideal gas partition is a simplified model that does not account for the volume of gas particles or their interactions with each other. In reality, gas particles do have volume and do interact with each other, especially at high pressures and low temperatures. This can result in deviations from ideal gas behavior, making the behavior of real gases more complex to predict.

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