Calculate the no. of mole in 100 g of `CaCO_3`

Options

A. 1
B. 5
C. 6
D. 10

Explanation

To calculate the number of moles in 100 g of \( \text{CaCO}_3 \), follow these steps:

### Step 1: Calculate the Molar Mass of \( \text{CaCO}_3 \)
1. Identify the atomic masses of each element in \( \text{CaCO}_3 \):
- Calcium (Ca): 40 g/mol
- Carbon (C): 12 g/mol
- Oxygen (O): 16 g/mol

2. Since there are 3 oxygen atoms in \( \text{CaCO}_3 \), calculate the total mass contributed by oxygen:
\[ \text{Mass of Oxygen} = 3 \times 16 \, \text{g/mol} = 48 \, \text{g/mol} \]

3. Now, sum the atomic masses to find the molar mass of \( \text{CaCO}_3 \):
\[ \text{Molar Mass of } \text{CaCO}_3 = 40 \, \text{g/mol} + 12 \, \text{g/mol} + 48 \, \text{g/mol} = 100 \, \text{g/mol} \]

### Step 2: Calculate the Number of Moles
1. Use the formula for calculating moles:
\[ \text{Number of moles} = \frac{\text{Given weight}}{\text{Molar mass}} \]

2. Substitute the values:
\[ \text{Number of moles} = \frac{100 \, \text{g}}{100 \, \text{g/mol}} = 1 \, \text{mole} \]

### Conclusion
The number of moles in 100 g of \( \text{CaCO}_3 \) is **1 mole**.

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