Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IHeat & Heat CapacityHard2 minQB
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What is the heat capacity of the ideal diatomic gas (rigid molecules, no vibration) undergoing the process shown in the figure? The straight line is tangent to the curve at the point (V = 2 L, P = 6 atm) and cuts the axes at P = 10 atm and V = 5 L.

figure

Options:

Answer:
D
Solution:

The tangent line is P = 10 - 2V, so dP/dV = -2 atm/L at the point of tangency. For PVx = constant, dP/dV = -xP/V: 2 = x × 6/2, so x = 2/3. C = CV + R/(1-x) = 2.5R + 3R = 5.5R. Matches (d).

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

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