Question

Which of the following is CORRECT regarding work in reversible isothermal compression?

• A. It is independent of volume of gas.
• B. It depends on number of moles of gas.
• C. It is independent of temperature of gas.
• D. All of the above

Answer 1

The correct option is B It depends on number of moles of gas.

work done in an isothermal reversible process is given as:

$w=-2.303nRT\left(\log \frac{V_2}{V_1}\right)$
where,
$n$ = number of moles of gas
$T$ = temperature
$V_{2}and{V}_1$ represents final and initial volumes respectively.

We can clearly see from the formula that work done depends upon Volume, moles and Temperature.

Hence only statement b is correct.