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 will follow these steps:

### Step 1: Understand the phase changes and energy exchanges
When ice at 0°C is mixed with steam at 100°C, the ice will absorb heat and melt into water, while the steam will release heat and condense into water. We need to calculate the heat gained by the ice and the heat lost by the steam to find the final temperature.

### Step 2: Calculate the heat required to melt the ice
The heat required to melt ice can be calculated using the formula:
\[ Q_{\text{ice}} = m_{\text{ice}} \cdot L_f \]
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