Equivalent mass of a bivalent metal is 32.7g. Molecular mass of its chloride will be :

Options

A. 68.2
B. 103.7
C. 136.4
D. 166.3

Explanation

To find the molecular mass of the chloride of a bivalent metal given its equivalent mass, we can follow these steps:

### Step 1: Understand the Given Information
The equivalent mass of the bivalent metal is given as 32.7 g. Since the metal is bivalent, it has a charge of +2.

### Step 2: Calculate the Atomic Mass of the Metal
The atomic mass (M) of the bivalent metal can be calculated using the formula:
\[ \text{Atomic Mass} = \text{Equivalent Mass} \times \text{Valency} \]

Given:
- Equivalent Mass = 32.7 g
- Valency (charge) = 2

So,
\[ \text{Atomic Mass} = 32.7 \, \text{g} \times 2 = 65.4 \, \text{g/mol} \]

### Step 3: Determine the Formula of the Chloride
Since the metal is bivalent, the formula of its chloride will be:
\[ \text{MCl}_2 \]

### Step 4: Calculate the Molecular Mass of the Chloride
To find the molecular mass of MCl₂, we need to add the atomic mass of the metal and the atomic masses of the chlorine atoms.

The atomic mass of chlorine (Cl) is approximately 35.5 g/mol. Since there are 2 chlorine atoms in the formula:
\[ \text{Molecular Mass of MCl}_2 = \text{Atomic Mass of Metal} + 2 \times \text{Atomic Mass of Chlorine} \]

Substituting the values:
\[ \text{Molecular Mass of MCl}_2 = 65.4 \, \text{g/mol} + 2 \times 35.5 \, \text{g/mol} \]
\[ = 65.4 \, \text{g/mol} + 71.0 \, \text{g/mol} \]
\[ = 136.4 \, \text{g/mol} \]

### Conclusion
The molecular mass of the chloride of the bivalent metal is **136.4 g/mol**.

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