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Question: Answered & Verified by Expert
$16 \mathrm{~g}$ of oxygen gas expands isothermally and reversibly at $300 \mathrm{~K}$ from $10 \mathrm{dm}^{3}$ to $100 \mathrm{dm}^{3}$. The work done is (in $J$ )
ChemistryThermodynamics (C)MHT CETMHT CET 2009
Options:
  • A zero
  • B $-2875 \mathrm{~J}$
  • C $+2875 \mathrm{~J}$
  • D infinite
Solution:
1342 Upvotes Verified Answer
The correct answer is: $-2875 \mathrm{~J}$
$\begin{aligned} W &=-2.303 \mathrm{nRT} \log \frac{V_{2}}{V_{1}} \\ &=-2.303 \times \frac{16}{32} \times 8.314 \times 300 \log \frac{100}{10} \end{aligned}$

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