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KCET · Chemistry · Electrochemistry

The approximate time duration in hours to electroplate 30 of calcium from molten calcium chloride using a current of \(5 \mathrm{~A}\) is [At. mass of \(\mathrm{Ca}=40\) ]

  1. A 80
  2. B 10
  3. C 16
  4. D 8
Verified Solution

Answer & Solution

Correct Answer

(D) 8

Step-by-step Solution

Detailed explanation

\(\mathrm{Ca}^{2+}+2 \mathrm{e}^{-} \longrightarrow \mathrm{Ca}\) (at cathode)
\(1 \mathrm{~mol} \mathrm{} \mathrm{CaCl}_{2}=2 \mathrm{~F}\)
From \(Q=i t\)
\(\mathrm{n} \cdot 2 \mathrm{~F}=\mathrm{it}\)
\(t=\frac{n \cdot 2 F}{i}\)
\(=\frac{30}{40} \times \frac{2 \times 96500}{5}=28950 \mathrm{~s}\)
\[
=\frac{28950}{60 \times 60} \mathrm{~h}=8.04 \mathrm{~h}
\]