1.8 mol of an ideal gas at 303 K is compressed isothermally and reversibly from 2.2 L to 0.20 L. What is ΔS?

Question

Quizplus · Accepted Answer

The reversible isothermal compression of an ideal gas can be described by the equation:

ΔS = -nR ln(Vf/Vi)

where ΔS is the change in entropy, n is the number of moles of gas, R is the gas constant, and Vi and Vf are the initial and final volumes, respectively.

Substituting the given values, we get:

ΔS = -1.8 mol * 8.314 J/(mol*K) * ln(0.20 L/2.2 L)

ΔS = -1.8 mol * 8.314 J/(mol*K) * (-2.3026)

ΔS = 36.16 J/K

Since the final answer is positive, the best choice is C, which is the only choice that is positive.

18 Mol of an Ideal Gas at 303 K Is