Question

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

Answer 1

Dear student,
The volume of the bulb in a Callender's compensated constant pressure air thermometer, (V) =
1800 cc
The volume of mercury that has to be poured out, V' = 200 cc
The temperature of the ice bath, T_o = 273.15 K
So the temperature of the vessel(T') is given by:
$$\begin{gathered} T\text{'}=\frac{V}{V-V\text{'}}\times T_0 \\ \Rightarrow T\text{'}=\frac{1800}{1600}\times 273.15\mathrm{K} \\ \Rightarrow T\text{'}=307.293 \\ \Rightarrow T\text{'}\simeq 307\mathrm{K} \end{gathered}$$
Therefore, the temperature of the vessel is 307 K.

Regards