An organic compound contains 14 atoms of carbon per molecule. If mass % of carbon in the compound is 22.4% then molecular mass of the compound will be

Options

A. 3000
B. 750
C. 12000
D. 600

Explanation

To find the molecular mass of the organic compound, we can follow these steps:

### Step 1: Calculate the mass of carbon in the compound
Given that the organic compound contains 14 carbon atoms, we can calculate the mass of carbon in one molecule.

The atomic mass of carbon (C) is approximately 12 g/mol. Therefore, the mass of 14 carbon atoms is:
\[ \text{Mass of Carbon} = 14 \times 12 = 168 \text{ g/mol} \]

### Step 2: Use the mass percentage of carbon to find the molecular mass
We know that the mass percentage of carbon in the compound is 22.4%. This means that in 100 g of the compound, 22.4 g is carbon.

Let the molecular mass of the compound be \( M \) g/mol. According to the mass percentage formula:
\[ \text{Mass \% of C} = \left( \frac{\text{Mass of C}}{\text{Molecular Mass}} \right) \times 100 \]
Substituting the known values:
\[ 22.4 = \left( \frac{168}{M} \right) \times 100 \]

### Step 3: Rearranging the equation to find \( M \)
Now, we can rearrange the equation to solve for \( M \):
\[ M = \frac{168 \times 100}{22.4} \]

### Step 4: Calculate \( M \)
Now, we can perform the calculation:
\[ M = \frac{16800}{22.4} \approx 750 \text{ g/mol} \]

Thus, the molecular mass of the compound is approximately 750 g/mol.

### Final Answer:
The molecular mass of the compound is **750 g/mol**.

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