Question

In a Callender's compensated constant pressure air thermometer, the volume of the bulb is $1800cc$. When the bulb is kept immersed in a vessel, $200cc$ of mercury has to be poured out. Calculate the temperature of the vessel.

Answer 1

At constant pressure, the change in the volume can be represented by:

$V_1{T}_1$=$V_2{T}_2$

The initial temperature is $T_1=273$

The temperature required to pour out 200cc of mercury:

$T_2=\frac{V_1}{V_2}{T}_1$

$V_1=1800cc$,

$V_2=1800-200cc=1600cc$

$T^{\prime }=\frac{1800}{1600}\times 273=307.125\approx 307$