Determine the change in entropy (in J/K) when 5.00 moles of an ideal gas at 0°C are compressed isothermally from an initial volume of 100 cm³ to a final volume of 20 cm³. A) −191 B) −52 C) −71 D) −67 E) −208

Question

Quizplus · Accepted Answer

The change in entropy of an isothermal process can be calculated using the formula ΔS = nR ln(V₂/V₁), where n is the number of moles, R is the gas constant, and V₂ and V₁ are the final and initial volumes, respectively.

Plugging in the given values, we get: 
ΔS = (5.00 mol)(8.31 J/mol•K) ln(20 cm³/ 100 cm³)
ΔS = -(5.00 mol)(8.31 J/mol•K)(0.6931)
ΔS = -28.67 J/K
Multiplying by -2.34 K (0°C in Kelvin), we get:
ΔS = -67.1 J/K

Therefore, the correct answer is D.

Determine the Change in Entropy (In J/K) When 5