Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IHeat & Heat CapacityEasy2 minQB
ChemistryEasynumerical
One mole of an ideal gas being initially at a temperature 300 K was isothermally expanded 2.0 times its initial volume and then isochorically heated so that the pressure in the final state became equal to that in the initial state. The total amount of heat transferred to the gas during the process equals 8 kJ. The value of Cv,m for this gas (in cal/K-mol) is
Answer:
5.00
Solution:
Isothermal step: Q₁ = nRT ln 2 = 1 × 8.314 × 300 × 0.693 ≈ 1729 J. After doubling of volume P₂ = P₁/2; isochoric heating until P returns to P₁ raises T from 300 to 600 K (ΔT = 300 K). Q₂ = 8000 − 1729 = 6271 J = Cv × 300 ⇒ Cv ≈ 20.9 J K⁻¹ mol⁻¹ ≈ 5 cal K⁻¹ mol⁻¹ (÷4.184).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Heat & Heat Capacity
⏱ 2mℹ️ Source: QB
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