The bulb of a Callender's compensated constant pressure air thermometer has a volume of 1800 cc . When this bulb is immersed in a vessel, 200 cc of mercury must be poured out. Determine the temperature of the vessel.

Step-by-step solution

In Callender's compensated constant pressure air thermometer, the main system and the compensating system have equal pressures and equal number of moles of air. The equation governing the thermometer is given by: V T + v₁ T₀ = V T₀ + v₂ T₀ where V is the volume of the bulb, T is the temperature of the vessel, T₀ is the temperature of the ice bath ( 273 K ), and v₁ - v₂ = v is the volume of mercury poured out to maintain constant pressure. Rearranging the equation, we get: V T = V T₀ - v₁ - v₂ T₀ V T = V - v T₀ T =