The quantity of electricity needed to electrolyse completely `1M` solution of `CuSO_4, Bi_2 (SO_4)_3, AICI_3` and `AgNO_3` each will be .

Options

A. ` 2 F. 6 F. 3 F`, and 1 F respectively
B. ` 6 F, 2 F, 3 F` and 1 F respectively
C. ` 6 F, 2 F, 1 F` and 3 F respectively
D. ` 6 F, 2 F, 1 F` and 3 F respectively

Explanation

To determine the quantity of electricity needed to electrolyze completely a 1M solution of CuSO4, Bi2(SO4)3, AlCl3, and AgNO3, we need to analyze the electrochemical reactions for each compound and calculate the number of Faradays required for the complete electrolysis.

### Step-by-Step Solution:

1. **Electrolysis of CuSO4:**
- The electrochemical reaction can be represented as:
\[ \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \]
- Here, 2 moles of electrons (2 Faradays) are required to reduce 1 mole of Cu²⁺ to Cu.
- Therefore, for 1 mole of CuSO4, we need **2 Faradays**.

2. **Electrolysis of Bi2(SO4)3:**
- The electrochemical reaction can be represented as:
\[ \text{Bi}^{3+} + 6e^- \rightarrow 2\text{Bi} \]
- Here, 6 moles of electrons (6 Faradays) are required to reduce 2 moles of Bi³⁺ to Bi.
- Therefore, for 1 mole of Bi2(SO4)3, we need **6 Faradays**.

3. **Electrolysis of AlCl3:**
- The electrochemical reaction can be represented as:
\[ \text{Al}^{3+} + 3e^- \rightarrow \text{Al} \]
- Here, 3 moles of electrons (3 Faradays) are required to reduce 1 mole of Al³⁺ to Al.
- Therefore, for 1 mole of AlCl3, we need **3 Faradays**.

4. **Electrolysis of AgNO3:**
- The electrochemical reaction can be represented as:
\[ \text{Ag}^{+} + e^- \rightarrow \text{Ag} \]
- Here, 1 mole of electron (1 Faraday) is required to reduce 1 mole of Ag⁺ to Ag.
- Therefore, for 1 mole of AgNO3, we need **1 Faraday**.

### Summary of Faradays Required:
- CuSO4: 2 Faradays
- Bi2(SO4)3: 6 Faradays
- AlCl3: 3 Faradays
- AgNO3: 1 Faraday

Thus, the quantities of electricity needed to electrolyze completely 1M solutions of the respective compounds are:
- CuSO4: **2 F**
- Bi2(SO4)3: **6 F**
- AlCl3: **3 F**
- AgNO3: **1 F**