What weight of a metal of equivalent weight 12 will give `0.475 g` of its chloide?

Options

A. `0.12 g`
B. `0.24 g`
C. `0.36 g`
D. `0.48 g`

Explanation

To solve the problem of finding the weight of a metal with an equivalent weight of 12 that will produce 0.475 g of its chloride, we can follow these steps:

### Step 1: Understand the Given Information
- Equivalent weight of the metal = 12 g
- Weight of the metal chloride = 0.475 g
- The equivalent weight of chlorine (Cl) = 35.5 g

### Step 2: Calculate the Equivalent Weight of the Metal Chloride
The equivalent weight of the metal chloride can be calculated using the formula:
\[ \text{Equivalent weight of metal chloride} = \text{Equivalent weight of metal} + \text{Equivalent weight of chlorine} \]

Substituting the values:
\[ \text{Equivalent weight of metal chloride} = 12 + 35.5 = 47.5 \text{ g} \]

### Step 3: Set Up the Ratio of Equivalent Weights
Using the concept of equivalent weights, we can set up the following ratio:
\[ \frac{\text{Equivalent weight of metal}}{\text{Equivalent weight of metal chloride}} = \frac{\text{Weight of metal}}{\text{Weight of metal chloride}} \]

Substituting the known values:
\[ \frac{12}{47.5} = \frac{W}{0.475} \]

Where \( W \) is the weight of the metal we need to find.

### Step 4: Cross-Multiply to Solve for W
Cross-multiplying gives us:
\[ 12 \times 0.475 = 47.5 \times W \]

Calculating the left side:
\[ 12 \times 0.475 = 5.7 \]

So now we have:
\[ 5.7 = 47.5 \times W \]

### Step 5: Solve for W
Now, we can solve for \( W \):
\[ W = \frac{5.7}{47.5} \]

Calculating this gives:
\[ W \approx 0.12 \text{ g} \]

### Conclusion
The weight of the metal that will give 0.475 g of its chloride is approximately **0.12 g**.

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