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Standard XIII

Chemistry

Entropy Change in Isothermal Process

Which is the ...

Question

Which is the correct expression that relates change in entropy with the change in pressure for an ideal gas at constant temperature?

△ S = n R T l n \frac{P_{1}}{P_{2}}

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△ S = T (P_{2} - P_{1})

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△ S = n R l n (\frac{P_{1}}{P_{2}})

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△ S = R T l n (\frac{P_{1}}{P_{2}})

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Solution

The correct option is C $△ S = n R l n (\frac{P_{1}}{P_{2}})$
We know that entropy change in an isothermal process for an ideal gas is given as:
$△ S = n R l n (\frac{V_{2}}{V_{1}})$

Since $P_{1} V_{1} = P_{2} V_{2}$ according to Boyle's law at constant temperature we can also write,
$△ S = n R l n (\frac{P_{1}}{P_{2}})$

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Entropy Change in Isothermal Process

Standard XIII Chemistry

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Which is the correct expression that relates change in entropy with the change in pressure for an ideal gas at constant temperature?

The correct option is C △S=nR ln(P1P2)We know that entropy change in an isothermal process for an ideal gas is given as: △S=nR ln(V2V1) Since P1V1=P2V2 according to Boyle's law at constant temperature we can also write, △S=nR ln(P1P2)