100 g ice at `0^(@)C ` is mixed with 10 g steam at `100^(@)C ` . Find the final temperature and composition .

Explanation

To solve the problem of mixing 100 g of ice at 0°C with 10 g of steam at 100°C, we need to analyze the heat exchange between the ice and the steam. Here’s a step-by-step solution:

### Step 1: Calculate the heat required to melt the ice
The heat required to melt the ice can be calculated using the formula:
\[ Q_1 = m \times L_f \]
where:
- \( m = 100 \, \text{g} \) (mass of ice)
- \( L_f = 80 \, \text{cal/g} \) (latent heat of fusion of ice)
...