Thermodynamics and ThermochemistrymediumMCQ SINGLE

Five moles of an ideal gas expand isothermally and reversibly from an initial pressure of 100 atm toThermodynamics and Thermochemistry Chemistry Question

Question

Five moles of an ideal gas expand isothermally and reversibly from an initial pressure of 100 atm to a final pressure of 1 atm at $27^\circ\text{C}$. The work done by the gas is ($\ln 100 = 4.6$)

Answer: D

💡 Solution & Explanation

Reversible isothermal work magnitude $W = nRT \ln(P_1/P_2)$. Using $R \approx 2\text{ cal/K-mol}$, $T = 300\text{ K}$, $n = 5$. Work done $= 5 \times 2 \times 300 \times \ln(100/1) = 3000 \times 4.6 = 13800\text{ cal}$.

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