AP EAMCET · Chemistry · Thermodynamics (C)
If one litre of an ideal gas at a pressure of \(20 \mathrm{~atm}\) expands isothermally and reversibly to a final volume of ' \(\mathrm{X}\) ' \(\mathrm{L}\) by absorbing 92.12 L. atm heat, ' \(\mathrm{X}\) ' (in L) is
- A 200
- B 20
- C 15
- D 100
Answer & Solution
Correct Answer
(D) 100
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathrm{W}_{\mathrm{rev}}=-2.303 \mathrm{RT} \log \frac{\mathrm{V}_2}{\mathrm{~V}_1} \\ & =-2.303 \mathrm{P}_1 \mathrm{~V}_1 \log \frac{\mathrm{V}_2}{\mathrm{~V}_1} \\ & =-2.303(20)(1.0) \log -=-46.06 \log \frac{\mathrm{V}_2}{1} \\ & =-46.06 \log…
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