A falt-bottom kettle placed on a stove is being used to boil water. The area of the bottom is `270cm^(2)` the thickness is `0.3` cm and the thermal conductivity of the material is `0.5 "cal"//s cm^(@)C`. If the amount of steam being produced in the kettle is at the rate of `10` g per minute calculate the difference of temperature between the inner and outer surfaces of the bottom. The latent heat of steam is `540 "cal"//gm`.

Explanation

To solve the problem of finding the temperature difference between the inner and outer surfaces of the kettle's bottom, we will use the formula for heat transfer through conduction. The relevant equation is:

\[ Q = \frac{k \cdot A \cdot \Delta T}{d} \]

Where:
- \( Q \) is the heat transferred (in calories),
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