Heat energy is supplied at a constant rate to 100 g of ice at `0^(@)C`. The ice is converted into water at `0^(@)C` in 2 minutes. How much time will be required to raise the temperature of water from `0^(@)C" to "20^(@)C` ? [Given : sp. Heat capacity of water `4.2g^(-1)""^(@)C^(-1)`, sp. latent heat of ice = `336Jg^(-1)`]

Explanation

To solve the problem step by step, we need to determine the heat energy supplied to convert ice into water and then calculate the time required to raise the temperature of the water from 0°C to 20°C.

### Step 1: Calculate the heat energy supplied to convert ice to water
The heat energy required to convert ice at 0°C to water at 0°C can be calculated using the formula:
\[ Q_1 = m \times L \]
where:
- \( m = 100 \, \text{g} \) (mass of ice),
- \( L = 336 \, \text{J/g} \) (specific latent heat of ice).
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