Five moles of an ideal gas expand isothermally and reversibly from an initial pressure of 100 atm to — Thermodynamics 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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