A frictionless piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL — Thermodynamics and Thermochemistry Chemistry Question
Question
A frictionless piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37.0 C. During this volume change, it absorbs 208 J of thermal energy. Calculate the work done by the system.
Answer: A
💡 Solution & Explanation
Because the process is maintained at a constant temperature, it is an isothermal process. For an ideal gas, $\Delta U = 0$ J continuously. By the First Law, $\Delta U = q + w$. Thus, all 208 J of absorbed heat is exhausted as expansion work: $0 = 208 + w \Rightarrow w = -208$ J.
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