One coulomb of electricity produces m kg of a substance 'X'. The electrochemical equivalent of 'X' in grams is

Options

A. m
B. `mxx10^(3)`
C. `mxx10^(-3)`
D. `0.1m`

Explanation

To find the electrochemical equivalent of a substance 'X' in grams when 1 coulomb of electricity produces 'm' kg of that substance, we can follow these steps:

### Step-by-Step Solution:

1. **Convert kg to grams**:
Since the electrochemical equivalent is required in grams, we first need to convert 'm' kg to grams.
\[ \text{Weight in grams} = m \text{ kg} \times 1000 \text{ g/kg} = m \times 10^3 \text{ g} \]

2. **Understand the concept of electrochemical equivalent (E)**:
The electrochemical equivalent is defined as the mass of a substance produced or consumed at an electrode during electrolysis per unit charge. It can be calculated using the formula:
\[ E = \frac{\text{Gram equivalent weight}}{F} \]
where \( F \) is Faraday's constant (approximately 96500 C/mol).

3. **Calculate the electrochemical equivalent**:
Given that 1 coulomb of electricity produces \( m \times 10^3 \) grams of substance 'X', we can directly substitute this into the formula. Since the charge (Q) is 1 coulomb:
\[ E = \frac{m \times 10^3 \text{ g}}{1 \text{ C}} = m \times 10^3 \text{ g/C} \]

4. **Final Result**:
Thus, the electrochemical equivalent of substance 'X' in grams is:
\[ E = m \times 10^3 \text{ g} \]