In Victor Meyers method, 0.2 g of an organic substance displaced 56 mL of air at STP.The molecular mass of the compound is

Options

A. 56
B. 112
C. 80
D. 28

Answer

To find the molecular mass of the organic substance using Victor Meyer's method, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Given Data:**
- Mass of the organic substance (m) = 0.2 g
- Volume of air displaced (V) = 56 mL
- Molar volume of gas at STP = 22,400 mL

2. **Calculate the Number of Moles of Gas Displaced:**
The number of moles of gas (n) can be calculated using the formula:
\[ n = \frac{V}{\text{Molar Volume}} \]
Substituting the values:
\[ n = \frac{56 \text{ mL}}{22400 \text{ mL/mol}} = \frac{56}{22400} = 0.0025 \text{ mol} \]

3. **Calculate the Molecular Mass:**
The molecular mass (M) can be calculated using the formula:
\[ M = \frac{\text{mass of substance}}{\text{number of moles}} \]
Substituting the values:
\[ M = \frac{0.2 \text{ g}}{0.0025 \text{ mol}} = 80 \text{ g/mol} \]

4. **Conclusion:**
The molecular mass of the organic compound is 80 g/mol.

### Final Answer:
The molecular mass of the compound is **80 g/mol**.