The number of atoms of Mg, S and O present in 0.5 moles of `MgSO_4` are respectively
(Given : Atomic mass of O= 16 u , Mg = 24 u , S= 32 u)

Options

A. `3.01 xx 10^(23) , 3.01 xx 10^(23) and 12.04 xx 10^(23)`
B. `3xx10^(23) , 3 xx 10^(23) and 1.2 xx 10^(23)`
C. `3.01xx10^(23) , 12.05 xx 10^(23) and 12.04 xx 10^(23)`
D. `3xx 10^(23) , 12.05 xx 10^(23) and 12.04 xx 10^(23)`

Answer

To find the number of atoms of magnesium (Mg), sulfur (S), and oxygen (O) present in 0.5 moles of magnesium sulfate (MgSO₄), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Composition of MgSO₄**:
- The formula MgSO₄ indicates that each molecule of magnesium sulfate contains:
- 1 atom of Magnesium (Mg)
- 1 atom of Sulfur (S)
- 4 atoms of Oxygen (O)

2. **Calculate the Number of Molecules in 0.5 Moles**:
- Using Avogadro's number, which is approximately \(6.02 \times 10^{23}\) molecules/mole, we can calculate the number of molecules in 0.5 moles:
\[ \text{Number of molecules} = 0.5 \text{ moles} \times 6.02 \times 10^{23} \text{ molecules/mole} = 3.01 \times 10^{23} \text{ molecules} \]

3. **Calculate the Number of Atoms for Each Element**:
- **For Magnesium (Mg)**:
- Since there is 1 atom of Mg per molecule:
\[ \text{Number of Mg atoms} = 3.01 \times 10^{23} \text{ molecules} \times 1 = 3.01 \times 10^{23} \text{ atoms} \]

- **For Sulfur (S)**:
- Since there is 1 atom of S per molecule:
\[ \text{Number of S atoms} = 3.01 \times 10^{23} \text{ molecules} \times 1 = 3.01 \times 10^{23} \text{ atoms} \]

- **For Oxygen (O)**:
- Since there are 4 atoms of O per molecule:
\[ \text{Number of O atoms} = 3.01 \times 10^{23} \text{ molecules} \times 4 = 1.204 \times 10^{24} \text{ atoms} \]

4. **Summarize the Results**:
- The number of atoms of Mg, S, and O in 0.5 moles of MgSO₄ are:
- Mg: \(3.01 \times 10^{23}\) atoms
- S: \(3.01 \times 10^{23}\) atoms
- O: \(1.204 \times 10^{24}\) atoms

### Final Answer:
The number of atoms of Mg, S, and O present in 0.5 moles of MgSO₄ are respectively:
- Mg: \(3.01 \times 10^{23}\)
- S: \(3.01 \times 10^{23}\)
- O: \(1.204 \times 10^{24}\)