Q31 / 120 · VITEEE 2007 · Chemistry

How long (in hours) must a current of $5.0$ amperes be maintained to electroplate $60 \mathrm{~g}$ of calcium from molten $\mathrm{CaCl}_{2}$ ?

  • A
    27 hours
  • B
    $8.3$ hours
  • C
    11 hours
  • Correct answer
    D
    16 hours

Solution

$\begin{array}{l} \text { Eq. mass of } \mathrm{Ca}^{++}=\frac{\text { Mol.mass }}{2}=\frac{40}{2}=20 \\ \mathrm{Z}=\frac{\text { Eq. mass of water }}{96500}=\frac{20}{96500} \\ \text { Given } \mathrm{w}=60 \mathrm{~g}, \mathrm{i}=5 \mathrm{amp} \\ \mathrm{w}=\text { zit } \end{array}$ $\begin{array}{l} \text { or } 60=\frac{20}{96500} \times 5 \times t \\ \therefore t=\frac{96500 \times 60}{20 \times 5}=57900 \sec =16 h \end{array}$

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

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