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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKinetic Theory of Gases and Gas LawsMedium2 minQB

PhysicsMediumsingle choice

An ideal gas goes through a process $T = T_{0} + a V^{2}$ , where $T_{0}$ and $a$ are positive constants and $V$ is the molar volume. The volume at which the pressure is minimum is:

Options:

Answer:

Solution:

$P = \frac{RT}{V} = R (\frac{T _{0}}{V} + aV)$ .

$\frac{d P}{d V} = 0$ gives $- \frac{T _{0}}{V ^{2}} + a = 0$ , so

$V = \frac{T _{0}}{a}$ . A.

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

⏱ 2mℹ️ Source: QB

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