The vessels A and B made of different materials but having identical shape, size wll thickness are filled with ice and kept at the same place. Ice melts at the rate of `"100 g min"^(-1)` and `"150 g min"^(-1)` in A and B respectively. Assuming that heat enters both vessels through the walls only, calculate the ratio of thermal conductivities of their materials.

Explanation

To solve the problem of finding the ratio of thermal conductivities of the materials of vessels A and B, we can follow these steps:

### Step 1: Understand the heat transfer process
The heat transfer through the walls of the vessels is responsible for melting the ice inside them. The rate at which ice melts is directly proportional to the amount of heat conducted through the walls of the vessels.

### Step 2: Calculate the heat transfer rates
The heat transfer rate (Q) can be calculated using the formula:
\[ Q = \text{mass} \times \text{latent heat} \]
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