Chemistry - Thermodynamics - II Question with Solution | TestHub
ChemistryThermodynamics - IICalculation of DSMedium2 minQB
ChemistryMediumsingle choice
One mole of an ideal gas undergoes a reversible process in which the entropy of the gas changes with absolute temperature T as: S = aT + Cᵥ,ₘ ln T, where a is a positive constant. If T = T₀ at V = V₀ the volume dependence of the gas on temperature in this process is
Options:
Answer:
C
Solution:
dS = (a + Cᵥ,ₘ/T) dT. For a reversible path dS = Cᵥ,ₘ dT/T + R dV/V, so R dV/V = a dT. Integrating from (T₀, V₀): R ln(V/V₀) = a(T − T₀), i.e. T = T₀ + (R/a) ln(V/V₀). Matches (c).
Stream:JEESubject:ChemistryTopic:Thermodynamics - IISubtopic:Calculation of DS
⏱ 2mℹ️ Source: QB
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