What is the value of `x` in `CaSO_(4).x H_(2)O`, gypsum ?

Explanation

To find the value of `x` in the formula `CaSO₄.xH₂O` for gypsum, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Chemical Formula of Gypsum**:
Gypsum is known to be calcium sulfate dihydrate. Its chemical formula is `CaSO₄.2H₂O`.

2. **Understand the Components**:
In the formula `CaSO₄.xH₂O`, `CaSO₄` represents calcium sulfate, and `xH₂O` represents the water of hydration. The value of `x` indicates how many water molecules are associated with one formula unit of calcium sulfate.

3. **Compare with the Known Formula**:
From the known formula of gypsum, we see that it contains two water molecules. Therefore, we can directly compare:
- In `CaSO₄.xH₂O`, we have `x` as the number of water molecules.
- In gypsum, we have `CaSO₄.2H₂O`, which indicates that `x = 2`.

4. **Conclusion**:
Thus, the value of `x` in the formula `CaSO₄.xH₂O` for gypsum is 2.

### Final Answer:
The value of `x` is 2.

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