In an energy recycling process, X g of steam at `100^(@)`C becomes water at `100^(@)`C which converts Y g of ice at `0^(@)`C into water at `100^(@)`C. The ratio of X/Y will be

Options

A. `1/3`
B. `2/3`
C. 3
D. 2

Explanation

To solve the problem, we need to find the ratio of \( \frac{X}{Y} \) based on the energy exchanges involved in the process described.

### Step-by-Step Solution:

1. **Identify the Heat Released by Steam:**
When \( X \) grams of steam at \( 100^\circ C \) condenses into water at \( 100^\circ C \), it releases heat equal to the latent heat of vaporization. The heat released \( Q_1 \) can be calculated as:
\[
Q_1 = X \times L_v
...