Chemistry - Thermodynamics - II Question with Solution | TestHub

ChemistryThermodynamics - IICalculation of DSMedium2 minQB
ChemistryMediumsingle choice

Assuming ideal gas behaviour, the ΔS for the isothermal mixing of 0.8 mole N₂ and 0.2 mole of O₂ is (ln 2 = 0.7, ln 10 = 2.3)

Options:

Answer:
A
Solution:

ΔSmix = −R(x₁ ln x₁ + x₂ ln x₂) = −R(0.8 ln 0.8 + 0.2 ln 0.2). ln 0.8 = 3 ln 2 − ln 10 = −0.2; ln 0.2 = ln 2 − ln 10 = −1.6. ΔSmix = −R(0.8 × (−0.2) + 0.2 × (−1.6)) = 0.48R = 0.48 × 2 = +0.96 cal/K. Matches (a).

Stream:JEESubject:ChemistryTopic:Thermodynamics - IISubtopic:Calculation of DS
⏱ 2mℹ️ Source: QB

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