`5.6 g` of a metal forms `12.7 g` of metal chloride. Hence equivalent weight of the metal is

Options

A. 127
B. 254
C. 56
D. 25

Explanation

To find the equivalent weight of the metal, we can follow these steps:

### Step 1: Determine the mass of chlorine in the metal chloride
We know that the total mass of the metal chloride is `12.7 g`, and the mass of the metal is `5.6 g`. Therefore, we can calculate the mass of chlorine as follows:

\[ \text{Mass of chlorine} = \text{Mass of metal chloride} - \text{Mass of metal} \]
\[ \text{Mass of chlorine} = 12.7 \, \text{g} - 5.6 \, \text{g} = 7.1 \, \text{g} \]

### Step 2: Relate the mass of the metal to the mass of chlorine
From the information we have, `5.6 g` of the metal combines with `7.1 g` of chlorine. We need to find out how much of the metal would combine with `35.5 g` of chlorine (the equivalent weight of chlorine).

### Step 3: Calculate the equivalent weight of the metal
The equivalent weight of the metal can be calculated using the formula:

\[ \text{Equivalent weight of metal} = \frac{\text{Mass of metal} \times \text{Equivalent mass of chlorine}}{\text{Mass of chlorine}} \]

Substituting the values we have:

\[ \text{Equivalent weight of metal} = \frac{5.6 \, \text{g} \times 35.5 \, \text{g}}{7.1 \, \text{g}} \]

### Step 4: Perform the calculation
Calculating the above expression:

\[ \text{Equivalent weight of metal} = \frac{198.8 \, \text{g}}{7.1 \, \text{g}} \approx 28 \, \text{g/equiv} \]

### Conclusion
Thus, the equivalent weight of the metal is approximately `28 g/equiv`.

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