Eq. wt of a metal , x g of which reacts with 1 eq. of an acid is

Options

A. 1
B. x/2
C. 2x
D. x

Answer

To find the equivalent weight of a metal that reacts with one equivalent of an acid, we can follow these steps:

### Step-by-Step Solution:

1. **Define Equivalent Weight**: The equivalent weight of a substance is defined as the mass of that substance that combines with or displaces 1 mole of hydrogen or 1 mole of electrons in a chemical reaction.

2. **Let the Equivalent Weight of the Metal be 'w'**: We denote the equivalent weight of the metal as 'w' grams.

3. **Calculate the Equivalent of the Metal**: The equivalent of the metal can be calculated using the formula:
\[ \text{Equivalent of Metal} = \frac{\text{Weight of Metal}}{\text{Equivalent Weight of Metal}} = \frac{x}{w} \]
where 'x' is the mass of the metal that reacts with the acid.

4. **Set Up the Equation**: According to the problem, the equivalent of the metal is equal to the equivalent of the acid. Since the acid reacts with one equivalent of the metal, we can express this as:
\[ \frac{x}{w} = 1 \]

5. **Solve for 'w'**: Rearranging the equation gives us:
\[ x = w \]
This indicates that the equivalent weight of the metal is equal to the mass of the metal that reacts with one equivalent of the acid.

### Final Answer:
The equivalent weight of the metal is **x grams**.

---