2 kg of ice at `-15^@C` is mixed with 2.5 kg of water at `25^@C` in an insulating container. If the specific heat capacities of ice and water are `0.5 cal//g^@C` and `1 cal//g^@C`, find the amount of water present in the container? (in kg nearest integer)

Explanation

To solve the problem, we need to calculate the amount of water present in the container after mixing 2 kg of ice at -15°C with 2.5 kg of water at 25°C. We will use the principles of calorimetry, where the heat lost by the water will be equal to the heat gained by the ice.

### Step-by-Step Solution:

1. **Identify the given data:**
- Mass of ice, \( m_{\text{ice}} = 2 \, \text{kg} = 2000 \, \text{g} \)
- Initial temperature of ice, \( T_{\text{ice initial}} = -15^\circ C \)
- Mass of water, \( m_{\text{water}} = 2.5 \, \text{kg} = 2500 \, \text{g} \)
...