Question

The work done when one mole of the gas is expanded reversibly and isothermally from 1 atm to 5 atm at ${25}^{o}C$ is:

• A. $w=-3.988kJ$
• B. $w=3.988J$
• C. $w=+3.988kJ$
• D. none of the above

Answer 1

The correct option is A $w=-3.988kJ$

$W=-2.303nRTlog\left(\frac{P_1}{P_2}\right)$
$W=-2.303\times 1\times 8.314\times 298log\left(\frac{1}{5}\right)$

$W=-3.988kJ$