A calorimeter of heat capacity `100 J//K` is at room temperature of `30^(@)C`. `100g` of water at `40^(@)C` of specific heat `4200 J//kg-K` is poured into the calorimeter. What is the temperature of water is calorimeter?

Explanation

To find the final temperature of the water in the calorimeter, we will use the principle of conservation of energy, which states that the heat lost by the hot water will be equal to the heat gained by the calorimeter.

### Step-by-step Solution:

1. **Identify the Given Data:**
- Heat capacity of the calorimeter, \( C_c = 100 \, \text{J/K} \)
- Initial temperature of the calorimeter, \( T_c = 30^\circ C \)
- Mass of water, \( m_w = 100 \, \text{g} = 0.1 \, \text{kg} \)
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