The weight of copper (At wt = 63.5) displaced by a quantity of electricity which displaces 5600 ml of `O_(2)` at STP will be :-

Options

A. 63.5 g
B. 31.5 g
C. 15.875 g
D. 127 g

Explanation

To solve the problem of finding the weight of copper displaced by the quantity of electricity that displaces 5600 ml of O₂ at STP, we can follow these steps:

### Step 1: Calculate the number of moles of O₂
At STP (Standard Temperature and Pressure), 1 mole of any gas occupies 22,400 ml. Therefore, the number of moles of O₂ can be calculated using the formula:

\[ \text{Number of moles of O}_2 = \frac{\text{Volume of O}_2}{\text{Volume at STP}} = \frac{5600 \, \text{ml}}{22400 \, \text{ml/mol}} = 0.25 \, \text{moles} \]

### Step 2: Calculate the equivalent weight of O₂
The equivalent weight of O₂ can be calculated as follows:

\[ \text{Equivalent weight of O}_2 = \frac{\text{Molar mass of O}_2}{4} = \frac{32 \, \text{g/mol}}{4} = 8 \, \text{g/equiv} \]

### Step 3: Calculate the total charge (Q) using Faraday's law
Using Faraday's law, we can relate the weight of oxygen displaced to the charge:

\[ W = \text{Equivalent weight} \times \text{Number of moles} = 8 \, \text{g/equiv} \times 0.25 \, \text{moles} = 2 \, \text{g} \]

Using the formula \( W = Z \times Q \), where \( Z \) is the equivalent weight and \( Q \) is the charge, we can rearrange to find \( Q \):

\[ Q = \frac{W}{Z} \times 96500 = \frac{2 \, \text{g}}{8 \, \text{g/equiv}} \times 96500 = 24125 \, \text{C} \]

### Step 4: Calculate the equivalent weight of copper
The equivalent weight of copper (Cu) can be calculated as follows:

\[ \text{Equivalent weight of Cu} = \frac{\text{Atomic weight of Cu}}{2} = \frac{63.5 \, \text{g/mol}}{2} = 31.75 \, \text{g/equiv} \]

### Step 5: Calculate the weight of copper displaced (W)
Now we can use the charge calculated in Step 3 to find the weight of copper displaced:

\[ W = Z \times Q = 31.75 \, \text{g/equiv} \times \frac{Q}{96500} \]

Substituting the value of \( Q \):

\[ W = 31.75 \, \text{g/equiv} \times \frac{24125 \, \text{C}}{96500} \approx 7.5 \, \text{g} \]

### Final Answer
The weight of copper displaced by the quantity of electricity that displaces 5600 ml of O₂ at STP is approximately **31.5 grams**.

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