To determine the molecular mass of the chloride of the bivalent metal, we need to use the concept of equivalent mass and molecular mass.
Here's how you can solve the problem:
1. **Understand Equivalent Mass:**
The equivalent mass of a substance is the mass of the substance that reacts with or is equivalent to 1 gram of hydrogen or 8 grams of oxygen or 35.5 grams of chlorine. For a bivalent metal (a metal that forms ions with a charge of +2), the equivalent mass is the mass of the metal that combines with or displaces 1 mole of hydrogen.
For a bivalent metal (let’s call it M), its equivalent mass is given by:
\[
\text{Equivalent Mass of M} = \frac{\text{Molecular Mass of M}}{2}
\]
2. **Given Data:**
- Equivalent mass of the bivalent metal, M = 32.7
3. **Calculate Molecular Mass of the Metal:**
\[
\text{Molecular Mass of M} = 2 \times \text{Equivalent Mass of M}
\]
\[
\text{Molecular Mass of M} = 2 \times 32.7 = 65.4
\]
4. **Determine the Molecular Mass of the Chloride:**
The molecular formula of the chloride of a bivalent metal M would be \(MCl_2\). To find the molecular mass of \(MCl_2\), we add the molecular mass of the metal and twice the atomic mass of chlorine.
The atomic mass of chlorine (Cl) is approximately 35.5.
Molecular mass of \(MCl_2\):
\[
\text{Molecular Mass of } MCl_2 = \text{Molecular Mass of M} + 2 \times \text{Atomic Mass of Cl}
\]
\[
\text{Molecular Mass of } MCl_2 = 65.4 + 2 \times 35.5
\]
\[
\text{Molecular Mass of } MCl_2 = 65.4 + 71.0 = 136.4
\]
So, the molecular mass of the chloride of the bivalent metal is **136.4**.
**Answer: (c) 136.4**