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  4. 5 moles of an ideal gas at 27° C expands isothermally and reversibly from a volume of 5 L to 50 L . The work done by the system is

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Q. 5 moles of an ideal gas at $27^\circ C$ expands isothermally and reversibly from a volume of $5 \, L \, $ to $50 \, L$ . The work done by the system is

NTA AbhyasNTA Abhyas 2022

Solution:

$W=-2.303 \, nRT \, log\frac{V_{2}}{V_{1}}$
$=-2.303\times 5\times 8.314\times 300\times log\frac{50}{5}$ = -28.72 KJ