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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoDifferent processesMedium3 minQB

PhysicsMediumsingle choice

The radius of a spherical enclosure containing a monatomic gas increases linearly with temperature such that $r = r_{0} + kT$ . If the walls of the spherical enclosure is adiabatic. Choose the correct graph of variation of $\frac{1}{p} \frac{dp}{dT}$ with radius (r) :-

Options:

Answer:

Solution:

$p (r^{3})^{5/3} = c$
$p r^{5} = c$
$p = \frac{c}{r ^{5}}$
$\frac{d p}{d T} = \frac{d p}{d r} \frac{d r}{d T}$
$\frac{d p}{d r} = - \frac{5 c}{r ^{6}}$
$\frac{d r}{d T} = k$
$\frac{1}{p} \frac{d p}{d T} = \frac{5∣ k ∣}{r}$
So option B.

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Different processes

⏱ 3mℹ️ Source: QB

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