Question

After a free expansion to quadruple its volume, a mole of an ideal diatomic gas is compressed back to its original volume adiabatically and then cooled down to its original temperature. What is the minimum heat removed from the gas in the final step to restoring its state?

(a) 0 J
(b) -3 R
(c) -2 R
(d) -4 R

Answer 1

The minimum heat removed from the gas in the final step to restore its state is 0 J.

Step-by-step explanation:

In the final step, the mole of ideal diatomic gas is compressed back to its original volume adiabatically and then cooled down to its original temperature. Since the process is adiabatic, no heat is transferred to or from the gas in this step. Therefore, the minimum heat removed from the gas in the final step to restore its state is 0 J.