Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IHeat & Heat CapacityMedium2 minQB
ChemistryMediumnumerical

An amount Q of heat is added to a monoatomic ideal gas in a process in which the gas performs a work Q/2 on its surrounding. The molar heat capacity of gas (in cal/K-mol) for the process is

Answer:
6.00
Solution:

First law: ΔU = Q − W = Q − Q/2 = Q/2. For 1 mole, ΔU = Cv·ΔT = (3/2)R·ΔT and Q = C·ΔT. Dividing: C/Cv = Q/(Q/2) = 2 ⇒ C = 2 × (3/2)R = 3R = 6 cal K⁻¹ mol⁻¹ (R = 2 cal K⁻¹ mol⁻¹).

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Heat & Heat Capacity
⏱ 2mℹ️ Source: QB

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