How many electrons are involved in the reaction when $0 \cdot 40$ F of electricity is passed through an…

How many electrons are involved in the reaction when $0 \cdot 40$ F of electricity is passed through an electrolytic solution?
  1. $6.642 \times 10^{25}$
  2. $2.4088 \times 10^{23}$
  3. $1.505 \times 10^{24}$
  4. $6.022 \times 10^{23}$

Solution

$\begin{array}{l} 1 \mathrm{~F}=96500 \mathrm{C} \\ \therefore \quad 0.4 \mathrm{~F}=96500 \times 0.4=38600 \mathrm{C} \end{array}$ $\begin{aligned} \text { Now, } 96500 \mathrm{C} &=6.022 \times 10^{23} \text { electrons } \\ \therefore 38600 \mathrm{C} &=\frac{6.022 \times 10^{23} \times 38600}{96500} \\ &=2.4088 \times 10^{23} \text { electrons } \end{aligned}$

Asked in: MHT CET 2020 (16 Oct Shift 1)

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