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

To solve the problem, we will use the relationship between the pressure of the gas and the temperature, which is given by the formula:

\[ T = \frac{P_T - P_0}{P_{100} - P_0} \times 100 \]

where:
- \( T \) is the temperature of the liquid in degrees Celsius,
...