Chemistry - Thermodynamics - II Question with Solution | TestHub

ChemistryThermodynamics - IICalculation of DSMedium2 minQB

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Passage / Comprehension

Passage: $Comprehension (Q.1 to Q.8) Use the thermodynamic equation of state (\frac{\partial U}{\partial V})_{T} = T (\frac{\partial P}{\partial T})_{V} - P to answer the following questions for n moles of a gas that obeys P = \frac{n RT}{V} + \frac{β n ^{2}}{V ^{2}} where β is a positive constant and C_{V} is independent of temperature.$

Entropy change of this gas going from ( $V_{1}$ , $T_{1}$ ) to ( $V_{2}$ , $T_{2}$ ) is

Options:

Answer:

Solution:

$d S = (n C_{V} / T) d T + (\frac{\partial P}{\partial T})_{V} d V$ (Maxwell relation).

$(\frac{\partial P}{\partial T})_{V} = n R / V$ .

$Δ S = n C_{V} ln (T_{2} / T_{1}) + n R ln (V_{2} / V_{1})$ .

The $β$ term has no $T$ dependence, so it does not enter. Answer: (C).

Stream:JEESubject:ChemistryTopic:Thermodynamics - IISubtopic:Calculation of DS

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