A gas is heated through 1,^oC in a closed vessel. Its pressure is increased by 0.5% . initial temper

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12.Kinetic Theory of Gases

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A gas is heated through $1\,^oC$ in a closed vessel. Its pressure is increased by $0.5\%$. The initial temperature of the gas is ...... $^oC$

A

$250$

B

$100$

C

$-73$

D

$-23$

Solution

$\mathrm{V}=\mathrm{constant}$

$\frac{\mathrm{d} \mathrm{P}}{\mathrm{P}}=\frac{\mathrm{dT}}{\mathrm{T}}$

$0.005=\frac{1}{\mathrm{T}} \Rightarrow \mathrm{T}=200 \mathrm{K}$

$\Rightarrow \mathrm{T}=-73^{\circ} \mathrm{C}$

Standard 11

Physics

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(KVPY-2019)