MHT CET · Chemistry · Thermodynamics (C)
\(16 \mathrm{~g}\) 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 \(J\) )
- A zero
- B \(-2875 \mathrm{~J}\)
- C \(+2875 \mathrm{~J}\)
- D infinite
Answer & Solution
Correct Answer
(B) \(-2875 \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} W &=-2.303 \mathrm{nRT} \log \frac{V_{2}}{V_{1}} \\ &=-2.303 \times \frac{16}{32} \times 8.314 \times 300 \log \frac{100}{10} \end{aligned}\)
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