An insulated piston is compressed to 2 atms of pressure; it has 1 mol of a gas (Cv,m = 12.5 J/K/mol) and is at room temperature (25 °C). If you suddenly let go in a room at 1 atm of pressure, what are the final values of P, T, V, ΔU, ΔH, Δq, Δw, total ΔS, surroundings ΔS, and the system ΔS? Hint: remember that ΔU = Cv×(Tf - Ti) = -Pext x (Vf - Vi); what you don’t know is the final temperature and volume. You have to calculate these; note that the final volume is (nRTf) / (101.325 kPa)

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter17: Chemcial Thermodynamics
Section: Chapter Questions
Problem 17.104QE: What is the sign of the standard Gibbs free-energy change at low temperatures and at high...
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An insulated piston is compressed to 2 atms of pressure; it has 1 mol of a gas (Cv,m = 12.5 J/K/mol) and is at room temperature (25 °C). If you suddenly let go in a room at 1 atm of pressure, what are the final values of P, T, V, ΔU, ΔH, Δq, Δw, total ΔS, surroundings ΔS, and the system ΔS?
Hint: remember that ΔU = Cv×(Tf - Ti) = -Pext x (Vf - Vi); what you don’t know is the final
temperature and volume. You have to calculate these; note that the final volume is (nRTf) / (101.325 kPa)

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