Question

When an ideal gas is compressed adiabatically and reversibly, the final temperature is:

• A. higher than the initial temperature
• B. lower than the initial temperature
• C. the same as the initial temperature
• D. dependent on the rate of compression

Answer 1

The correct option is A higher than the initial temperature

We know,
$dq=dU-w$ , in adiabatic process dq = 0, then $dU=w$
$w=C_{v}dT$
For an adiabatic process, volume is inversely proportional to $V^{\gamma -1}$. Hence for compression there is a temperature increase in the system.