Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoDifferent processesEasy2 minPYQ_2018

PhysicsEasysingle choice

Two moles of an ideal monoatomic gas occupies a volume $V$ at $27^{o} C$ . The gas expands adiabatically to a volume $2 V$ . Calculate $(a)$ the final temperature of the gas and $(b)$ change in its internal energy.

Options:

Answer:

Solution:

$T V^{γ - 1} = C o n s t a n t$
$γ = \frac{5}{3}$ $\Rightarrow 300 {(V)}^{\frac{2}{3}} = T {(2 V)}^{\frac{2}{3}}$
$\Rightarrow T = 189 K$ $\Rightarrow Δ U = n C_{v} Δ T$ $= 2 \times \frac{3}{2} \times 8.314 \times (- 11)$ $= - 2.7 kJ$

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

⏱ 2mℹ️ Source: PYQ_2018

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