The quantity of electricity needed to libereate `0.5` gram equivalent of an element is :

Options

A. 48250 Faradays
B. 48250 Coulombs
C. 193000 Faradays
D. 193000 Coulombs

Answer

To determine the quantity of electricity needed to liberate 0.5 gram equivalent of an element, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Gram Equivalent:**
- The gram equivalent of an element is the amount of the element that will combine with or displace 1 gram of hydrogen or 8 grams of oxygen, or 1 mole of electrons in a redox reaction.

2. **Faraday's Law of Electrolysis:**
- According to Faraday's law, 1 gram equivalent of any substance requires 1 Faraday of electricity for its electrolysis.
- 1 Faraday is equivalent to 96500 coulombs of charge.

3. **Calculate the Quantity of Electricity for 0.5 Gram Equivalent:**
- Since 1 gram equivalent requires 96500 coulombs, we can find the quantity of electricity needed for 0.5 gram equivalent.
- The calculation is as follows:
\[ \text{Electricity for 0.5 gram equivalent} = 0.5 \times 96500 \text{ coulombs} \]

4. **Perform the Calculation:**
- Now, calculate:
\[ 0.5 \times 96500 = 48250 \text{ coulombs} \]

5. **Conclusion:**
- Therefore, the quantity of electricity needed to liberate 0.5 gram equivalent of an element is **48250 coulombs**.

### Final Answer:
The quantity of electricity needed to liberate 0.5 gram equivalent of an element is **48250 coulombs**.

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