The pressures of the gas filled in the bulb of a constant volume gas thermometer are `66` cm and `88` cm of mercury column at `0^(@)C` and `100^(@)C` respectively. When its bulb is immersed in a liquid placed in a vessel, its pressure is `82.5` cm of mercury column. Calculate the temperature of the liquid.

Explanation

Given, presssure at `0^(@)C "is" p_(o=66cm,`
Pressure at `100^(@)C` "is" `p_(o)=80cm`
Pressure at unknown temperature t is `p_(t) =82.5cm` According of formula, the unknown temperature is
`t=((P_(t)-P_(o))/(P_(100)-P_(o))xx100^(@)C=((82.5-66)/(88-66))xx100^(@)C`

`=(16.5)/(22)xx100^(@)C=75^(@)C`