AP EAMCET · PHYSICS · Thermodynamics
Work done to increase the temperature of one mole of an ideal gas by \(30^{\circ} \mathrm{C}\), if it is expanding under the condition \(V \propto T^{2 / 3}\) is, \((R=8.314 \mathrm{~J} / \mathrm{mol} / \mathrm{K})\)
- A \(116.2 \mathrm{~J}\)
- B \(136.2 \mathrm{~J}\)
- C \(166.2 \mathrm{~J}\)
- D \(186.2 \mathrm{~J}\)
Answer & Solution
Correct Answer
(C) \(166.2 \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
We have, \(V \propto T^{2 / 3}\) and \(p \propto \sqrt{V}\) \(\therefore \quad p=k \sqrt{V} \Rightarrow p=k V^{1 / 2}\) Work done, \(W=\int p d V\)…
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