TS EAMCET · Physics · Thermodynamics
Two moles of a gas at a temperature of \(327^{\circ} \mathrm{C}\) expands adiabatically such that its volume increases by \(700 \%\). If the ratio of the specific heat capacities of the gas is \(\frac{4}{3}\), then the work done by the gas is
(Universal gas constant \(=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\) )
- A 14.94 kJ
- B 29.88 kJ
- C 44.82 kJ
- D 59.76 kJ
Answer & Solution
Correct Answer
(A) 14.94 kJ
Step-by-step Solution
Detailed explanation
\(T_1 = 327 + 273 = 600 \mathrm{~K}\) \(\frac{V_2}{V_1} = 1 + 7 = 8\) \(\gamma - 1 = \frac{4}{3} - 1 = \frac{1}{3}\) \(T_2 = T_1 \left(\frac{V_1}{V_2}\right)^{\gamma-1} = 600 \left(\frac{1}{8}\right)^{1/3} = 600 \times \frac{1}{2} = 300 \mathrm{~K}\)…
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