Q29 / 180 · COMEDK 2018 · Chemistry

When a quantity of electricity is passed through $\mathrm{CuSO}_{4}$ solution, $0.16 \mathrm{~g}$ of copper gets deposite(d)If the same quantity of electricity is passed through acidulated water, then the volume of $\mathrm{H}_{2}$ liberated at STP will be [Given, atomic weight of $\mathrm{Cu}=64$ ]

  • A
    $4.0 \mathrm{~cm}^{3}$
  • Correct answer
    B
    $56 \mathrm{~cm}^{3}$
  • C
    $604 \mathrm{~cm}^{3}$
  • D
    $8.0 \mathrm{~cm}^{3}$

Solution

According to second law of Faraday, $$ \begin{aligned} \frac{w_{1}}{E_{1}} &=\frac{w_{2}}{E_{2}} \\ \frac{0.16}{64} &=\frac{w_{2}}{2} \\ w_{2} &=\frac{0.16 \times 2}{64}=\frac{0.01}{2}=0.005 \mathrm{~g} \end{aligned} $$ Volume of $\mathrm{H}_{2}=\frac{0.005}{2} \times 22.400 \mathrm{~cm}^{3}=\frac{22.4}{4}=56 \mathrm{~cm}^{3}$ ##0

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

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