Calculate the no. of mole in 150 g of `CaCO_3`

Options

A. 1
B. 1.5
C. 15
D. 0.15

Explanation

To calculate the number of moles in 150 g of \( \text{CaCO}_3 \), we will follow these steps:

### Step 1: Calculate the molar mass of \( \text{CaCO}_3 \)

1. **Identify the atomic masses**:
- Calcium (Ca): 40 g/mol
- Carbon (C): 12 g/mol
- Oxygen (O): 16 g/mol

2. **Calculate the contribution of each element**:
- For Calcium: \( 1 \times 40 = 40 \) g/mol
- For Carbon: \( 1 \times 12 = 12 \) g/mol
- For Oxygen: \( 3 \times 16 = 48 \) g/mol

3. **Add them together**:
\[ \text{Molar mass of } \text{CaCO}_3 = 40 + 12 + 48 = 100 \text{ g/mol} \]

### Step 2: Use the formula to calculate the number of moles

The formula to calculate the number of moles is:
\[ \text{Number of moles} = \frac{\text{Given mass}}{\text{Molar mass}} \]

4. **Substitute the values**:
- Given mass = 150 g
- Molar mass = 100 g/mol

5. **Calculate the number of moles**:
\[ \text{Number of moles} = \frac{150 \text{ g}}{100 \text{ g/mol}} = 1.5 \text{ moles} \]

### Conclusion

The number of moles in 150 g of \( \text{CaCO}_3 \) is **1.5 moles**.

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