An ideal gas increases in temperature from 22C to 42C by two different processes

Question

An ideal gas increases in temperature from 22C to 42C by two different processes. In one process, the temperature increases at constant volume, and in the other process the temperature increases at constant pressure. Which of the following statements about this gas are correct? (There may be more than one correct choice.)


a- More heat is required for the constant-pressure process than for the constant-volume process.

b- The change in the internal (thermal) energy of the gas is the same for both the constant-volume and the constant-pressure processes.

c- The root-mean-square (thermal) speed of the gas molecules increases more during the constant-volume process than during the constant-pressure process.

d- The heat required to cause this temperature change is the same for both the constant-volume and the constant-pressure processes.

Explanation / Answer

a- More heat is required for the constant-pressure process than for the constant-volume process.

b- The change in the internal (thermal) energy of the gas is the same for both the constant-volume and the constant-pressure processes.

This is because a part of the heat is used to do work and internal energy is a state function,

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