Question

A sample of gas at constant temperature T is adiabatically expanded to double its volume. The work done by the gas in the process is:

a. Zero
b. Positive
c. Negative
d. Cannot be determined

Answer 1

In an adiabatic expansion of a gas at constant temperature, the work done by the gas is zero.

Step-by-step explanation:

In an adiabatic expansion of a gas at constant temperature, the work done by the gas is zero.

This is because in an adiabatic process, there is no heat transfer between the system (the gas) and the surroundings. Therefore, no work is done on the gas, and the work done by the gas is also zero.

The work done by the gas can be calculated using the equation: W = -ΔE, where W is the work done, and ΔE is the change in internal energy of the gas. Since the temperature remains constant during the adiabatic expansion, the change in internal energy is zero, and hence, the work done by the gas is zero.