In a constant volume gas thermometer, the pressure of the working gas is measured by the difference in the levels of mercury in the two arms of a U-tube connected to the gas at one end. When the bulb is placed at the room temperature `27.0^0 C`, the mercury column in the arm open to atmosphere stands `5.00 cm` above the level of mercury in the other arm. When the bulb is placed in a hot liquid, the difference of mercury levels becomes `45.0 cm`. Calculate the temperature of the liquid. (Atmospheric pressure `= 75.0cm` of mercury).

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Initial Conditions
We have two scenarios:
- **Scenario 1 (Room Temperature):** The mercury level difference is 5.00 cm.
- **Scenario 2 (Hot Liquid):** The mercury level difference is 45.0 cm.

The atmospheric pressure is given as 75.0 cm of mercury.
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