For a sample of perfect gas when its pressure is changed isothermally from p_i to p_f , the entropy change is given by: - Chemistry MCQ Chemistry | ExamTest.live

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For a sample of perfect gas when its pressure is changed isothermally from p_{i} to p_{f}, the entropy change is given by:

A $Δ S = RT ln \frac{p _{i}}{p _{f}}$
B $Δ S = n R ln \frac{p _{f}}{p _{i}}$
C $Δ S = n R ln \frac{p _{i}}{p _{f}}$
D $Δ S = n RT ln \frac{p _{f}}{p _{i}}$

Solution & Step-by-step Explanation

For an isothermal process (Δ T = 0), the entropy change Δ S for an ideal gas is: Δ S = n R ln \frac{V _{f}}{V _{i}} Since for an ideal gas at constant temperature, p_{i} V_{i} = p_{f} V_{f}, we have \frac{V _{f}}{V _{i}} = \frac{p _{i}}{p _{f}} .Substituting this: Δ S = n R ln \frac{p _{i}}{p _{f}}

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For a sample of perfect gas when its pressure is changed isothermally from p_{i} to p_{f}, the entropy change is given by:

Δ S = RT ln \frac{p _{i}}{p _{f}}

Δ S = n R ln \frac{p _{f}}{p _{i}}

Δ S = n R ln \frac{p _{i}}{p _{f}}

Δ S = n RT ln \frac{p _{f}}{p _{i}}

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For a sample of perfect gas when its pressure is changed isothermally from $p_{i}$ to $p_{f}$ , the entropy change is given by:

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For a sample of perfect gas when its pressure is changed isothermally from pi​ to pf​, the entropy change is given by:

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For a sample of perfect gas when its pressure is changed isothermally from $p_{i}$ to $p_{f}$ , the entropy change is given by: