Question

The pressure of the gas in a constant volume gas are thermometer are $80cm$, $90cm$ and $100cm$ of mercury at the ice point, the steam point and in a heated wax bath respectively. Find the temperature of the wax bath.

Answer 1

Pressure at ice point $=P_{0^o}=80cm$ of $Hg$

Pressure at steam point $=P_{{100}^o}=90cm$ of $Hg$

Pressure of heated wax bath $P_0=100cm$

At constant volume, the Boyle's law can be applied to the wax bath:

$t=\frac{P-P_0}{P_{100}-P_0}\times {100}^o$

$=\frac{100-80}{90-80}\times 100$

$={200}^{o}C$

The pressure of the wax bath is ${200}^{0}C$