A rectangular steel tank of thickness 2.5 cm is used to boil water by a constant temperature furnace. If the level of water inside the tank falls at a steady rate of 0.25 cm in 2 minutes due to vaporisation, find the temperature of the furnace.
Take, conductivity of steel `= 0.2 cal s^(-1) m^(-1) ""^@C^(-1)`
Latent heat of steam = 540 cal/g

Explanation

To solve the problem, we need to determine the temperature of the furnace based on the rate of water vaporization in the steel tank. Here’s a step-by-step solution:

### Step 1: Understand the problem
We know that the water level in the tank falls at a rate of 0.25 cm in 2 minutes due to vaporization. We need to find the temperature of the furnace.

### Step 2: Convert measurements
Convert the thickness of the tank and the rate of water level decrease into meters for consistency in SI units:
- Thickness of the tank = 2.5 cm = 0.025 m
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