One mole of an ideal gas is compressed isothermally and reversibly at 607.4 K from 5.60 atm to 8.90 atm.Calculate ΔS.

Question

Quizplus · Accepted Answer

For an isothermal reversible compression of an ideal gas, the change in entropy (ΔS) is given by ΔS = nRln(Vf/Vi) = nRln(Pi/Pf), where n = 1 mole, R = 8.314 J/mol·K, Pi = 5.60 atm, and Pf = 8.90 atm. Calculating gives ΔS = 1 * 8.314 * ln(5.60/8.90) = -3.85 J/K.

One Mole of an Ideal Gas Is Compressed Isothermally and Reversibly