In an insulated vessel, 250 g of ice at `0^(@)C` is added to 600 g of water at `18^(@)C`
(a) What is the final temperature of the system?
(b) How much ice remains when the system reaches equilibrium?
Useful data:
Specific heat capacity of water: 4190 K/K.kg
Speicific heat capacity of ice: 2100J/K.kg
Latent heat of fusio of ice: `3.34xx10^(5)J//kg`

Explanation

To solve the problem step by step, we will first determine the final temperature of the system and then calculate how much ice remains after reaching equilibrium.

### Step 1: Identify the given data
- Mass of ice, \( m_{ice} = 250 \, \text{g} = 0.250 \, \text{kg} \)
- Mass of water, \( m_{water} = 600 \, \text{g} = 0.600 \, \text{kg} \)
- Initial temperature of ice, \( T_{ice} = 0^\circ C \)
- Initial temperature of water, \( T_{water} = 18^\circ C \)
- Specific heat capacity of water, \( c_{water} = 4190 \, \text{J/(kg K)} \)
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