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.

Question

Philoid · Accepted Answer

Explanation:

Given:

Initial volume, V, is 1800CC

The poured out amount for compensation, V', is 200CC

Ice point temperature in Callender’s compensated thermometer setup, T_0, is 273K

Formula used:

From the ideal gas equation, for a constant pressure thermometer,

Where, V and T represents Volume and Temperature respectively.

Or, it can be written as,

Here in the case of Callender’s compensated air thermometer, the equation becomes,

Where,

V= Initial volume= 1800CC

V'= The poured out amount for compensation=200CC

T₀=Ice point temperature= 273K

Hence, from the equation, the temperature of vessel,T

(Ans.)

So, the temperature of the vessel =307.125K≈307K