In a laboratory experiment to measure the specific heat capacity of copper, 0.02 kg of water at `70^(@)C` was poured into a copper calorimeter with a stirrer of mass 0.16 kg initially at `15^(@)C`. After stirring the final temperature reached to `45^(@)C`.
Assuming that heat released by water is entirely used to raise the temperature of calorimeter `15^(@)C` to `45^(@)C`, calculate the specific heat capacity of copper. (Specific heat capacity of water = `4200 J kg^(-1)""^(@)C^(-1)`.

Explanation

To solve the problem of calculating the specific heat capacity of copper, we can follow these steps:

### Step 1: Understand the heat transfer
The heat lost by the water will be equal to the heat gained by the copper calorimeter. We can express this mathematically as:
\[ Q_{\text{water}} = Q_{\text{calorimeter}} \]

### Step 2: Write the formula for heat transfer
The heat transfer can be calculated using the formula:
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