MHT CET · Chemistry · Electrochemistry

How many faraday of electricity is required to produce \(10 \mathrm{~g}\) of calcium metal (molar mass \(=40 \mathrm{~g} \mathrm{~mol}^{-1}\) ) from calcium ions?

A \(1.5 \mathrm{~F}\)
B \(2.0\mathrm{~F}\)
C \(0.50 \mathrm{~F}\)
D \(1.0 \mathrm{~F}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(0.50 \mathrm{~F}\)

Step-by-step Solution

Detailed explanation

\(
2 \mathrm{e}^{-}+\mathrm{Ca}^{2+} \longrightarrow \mathrm{Ca}_{(\mathrm{s})}
\)
Charge of \(1 \mathrm{~mol}\) electron \(=1\) faraday of electricity To produce \(1 \mathrm{~mol}\) calcium metal \(2 \mathrm{~F}\) electricity is required Moles of calcium \(=\frac{10}{40}=0.25\)
To produce \(0.25 \mathrm{~mol}\) calcium electricity required \(=2 \times 0.25=0.5 \mathrm{~F}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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