Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoDifferent processesEasy2 minPYQ_2023

PhysicsEasysingle choice

Under isothermal condition, the pressure of a gas is given by $P = a V^{- 3},$ where $a$ is a constant and $V$ is the volume of the gas. The bulk modulus at constant temperature is equal to

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Answer:

Solution:

The data given is
$P = a V^{- 3}$
Bulk modulus is given by,
$B = - \frac{d P}{\frac{d V}{V}} = - V \frac{d P}{d V}$
$= - V \frac{d}{d V} \{\frac{a}{V^{3}}\}$
$= - V [\frac{- 3 a}{V^{4}}]$
$= \frac{3 a}{V^{3}} = 3 P$

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

⏱ 2mℹ️ Source: PYQ_2023

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