The entropy change associated with the expansion of one mole of an ideal gas from an initial volume of V_i to a final volume of V_f at constant temperature is given by the equation,ΔS = R ln (V_f/V_i).What is the entropy change associated with the expansion of five moles of an ideal gas from an initial volume of V_i to a final volume of V_f at constant temperature?

Question

Quizplus · Accepted Answer

The entropy change for the expansion of an ideal gas is only dependent on the number of moles of gas and the ratio of final and initial volumes. Therefore, multiplying the expression for ΔS by 5 gives the correct answer for the expansion of five moles of gas. Thus, the entropy change associated with the expansion of five moles of an ideal gas is ΔS = 5 mol × R ln (V_f/V_i).

The Entropy Change Associated with the Expansion of One Mole