Q27 / 150 · MHT CET 2021 (21 Sep Shift 1) · Chemistry

What is the number of electrons passed through an electrolyte solution when 1 ampere current is passed for 16.1 minutes?

  • A
    $5.022 \times 10^{24}$
  • B
    $3.011 \times 10^{22}$
  • Correct answer
    C
    $6.022 \times 10^{21}$
  • D
    $2.022 \times 10^{23}$

Solution

$$ \begin{aligned} & \mathrm{q}=\mathrm{ne} \\ & \mathrm{q}=\mathrm{I} . \mathrm{t} \\ & \mathrm{n}=\text { no. of electrons } \\ & \mathrm{e}=\text { change of one electron } \\ & \mathrm{I}=\text { Current supplied } \\ & \mathrm{t}=\text { time in seconds } \\ & \mathrm{q}=1 \times 16.1 \times 60=\mathrm{ne} \\ & \mathrm{n}=\frac{16.1 \times 60}{1.602 \times 10^{-19}}=6.022 \times 10^{21} \end{aligned} $$

Hence, the correct answer is option: 'C'.

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