According to the given reaction `:`
`underset( 10.0g)(CaCO_(3(s))) overset( Delta)( rarr) underset( 5.6g) ( CaO_((s))) + underset( x g ) ( CO_(2(g)))`
What is the value of x ?

Options

A. `10.0`
B. 5.6
C. 4.4
D. 11.1

Explanation

To find the value of \( x \) in the given reaction:

\[ \text{CaCO}_3(s) \overset{\Delta}{\rightarrow} \text{CaO}(s) + \text{CO}_2(g) \]

we can use the principle of conservation of mass, which states that the mass of the reactants must equal the mass of the products.

### Step-by-step solution:

1. **Identify the mass of reactants**:
- The mass of calcium carbonate (\( \text{CaCO}_3 \)) is given as 10.0 g.

2. **Identify the mass of products**:
- The mass of calcium oxide (\( \text{CaO} \)) produced is given as 5.6 g.
- The mass of carbon dioxide (\( \text{CO}_2 \)) produced is \( x \) g.

3. **Apply the conservation of mass**:
- According to the conservation of mass:
\[ \text{Mass of reactants} = \text{Mass of products} \]
- Therefore:
\[ 10.0 \, \text{g} = 5.6 \, \text{g} + x \, \text{g} \]

4. **Solve for \( x \)**:
- Rearranging the equation gives:
\[ x = 10.0 \, \text{g} - 5.6 \, \text{g} \]
- Calculating \( x \):
\[ x = 4.4 \, \text{g} \]

Thus, the value of \( x \) is **4.4 g**.