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PhysicsHeat & ThermoKinetic Theory of Gases and Gas LawsMedium2 minQB

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A gas has molar heat capacity $C = 24.9 J mol^{- 1} K^{- 1}$ in the process $P^{2} T = constant$ . Then ( $R = 8.3$ J/mol K):

Answer:

Solution:

$P^{2} T = const$ with $P V = n RT$ gives

$P V^{\frac{1}{3}} = const$ , so $x = \frac{1}{3}$ .

$C = \frac{f R}{2} + \frac{R}{1 - x} = \frac{f R}{2} + \frac{3 R}{2}$ .

Setting $C = 3 R$ gives $f = 3$ , monoatomic. A.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Kinetic Theory of Gases and Gas Laws

⏱ 2mℹ️ Source: QB

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