Ice of mass 600 kg and at a temperature of `-10^@C` is placed in a copper vessel heated to `350^@C`. The resultant mixture is 550 g of ice and water. Find the mass of the vessel. The specific heat capacity of copper `(c)=100 cal//kg-K`

Explanation

To solve the problem, we need to calculate the mass of the copper vessel using the heat transfer principles in calorimetry. Here’s the step-by-step solution:

### Step 1: Calculate the heat required to raise the temperature of ice from -10°C to 0°C

The formula for heat (Q) required to change the temperature of a substance is given by:

\[ Q = m \cdot c \cdot \Delta T \]

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