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  4. The volume of a gas at 20° C is 200 ml . If the temperature is reduced to -20° C at constant pressure, its volume will be

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Q. The volume of a gas at $20^\circ C$ is $200 \, ml$ . If the temperature is reduced to $-20^\circ C$ at constant pressure, its volume will be

NTA AbhyasNTA Abhyas 2020Thermodynamics

Solution:

$V \propto T$
$\Rightarrow \, \, \frac{V_{1}}{V_{2}}=\frac{T_{1}}{T_{2}}$
$\Rightarrow \, \, \frac{200}{V_{2}}=\frac{\left(273 + 20\right)}{\left(273 - 20\right)}=\frac{293}{253}$
$\Rightarrow \, \, \, V_{2}=\frac{200 \times 253}{293}=172.6 \, ml$