First slide

Thermometry

Question

A gas obeys PV² = constant in addition to PV = RT. If on heating, the temperature is doubled , the volume of the gas is

Easy

A

V/2
B

V
C

V/√2
D

√2 V

Solution

PV² = constant ; TV = constant; $\large \frac {RT}{V}\times V^2=constant$
$\large V\propto \frac 1T\Rightarrow \frac {V_1}{V_2}=\frac {T_2}{T_1}\Rightarrow \frac {V}{V_2}=\frac {2T}{T}\Rightarrow V_2=\frac V2$

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