Calculate the no. of mole in 50 g of `CaCO_3`

Options

A. 5
B. 1
C. 0.5
D. 1.5

Answer

To calculate the number of moles in 50 g of \( \text{CaCO}_3 \), follow these steps:

### Step 1: Calculate the Molar Mass of \( \text{CaCO}_3 \)

1. Identify the atomic masses of the elements 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:
\[ \text{Mass of Oxygen} = 3 \times 16 = 48 \text{ g/mol} \]

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

### Step 2: Calculate the Number of Moles

1. Use the formula for calculating moles:
\[ \text{Number of moles} = \frac{\text{Given mass}}{\text{Molar mass}} \]

2. Substitute the values into the formula:
\[ \text{Number of moles} = \frac{50 \text{ g}}{100 \text{ g/mol}} = 0.5 \text{ moles} \]

### Conclusion

The number of moles in 50 g of \( \text{CaCO}_3 \) is **0.5 moles**.

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