TS EAMCET · Physics · Thermodynamics
Two moles of a triatomic gas \(\left(\gamma=\frac{4}{3}\right)\) at temperature \(327^{\circ} \mathrm{C}\) expands adiabatically such that its volume becomes 8 times its initial volume. Later the temperature of the gas is doubled in an isochoric process. The total work done in the two processes is ( \(\mathrm{R}\) - universal gas constant)
- A \(900 \mathrm{R}\)
- B \(1800 \mathrm{R}\)
- C \(1200 \mathrm{R}\)
- D \(300 \mathrm{R}\)
Answer & Solution
Correct Answer
(B) \(1800 \mathrm{R}\)
Step-by-step Solution
Detailed explanation
\(T_1 = 327^{\circ} \mathrm{C} = 600 \mathrm{K}\) \(T_2 = T_1 \left(\frac{V_1}{V_2}\right)^{\gamma-1} = 600 \left(\frac{V_1}{8V_1}\right)^{\frac{4}{3}-1} = 600 \left(\frac{1}{8}\right)^{\frac{1}{3}} = 600 \times \frac{1}{2} = 300 \mathrm{K}\)…
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