MHT CET · Chemistry · Electrochemistry

Find the number of faradays of electricity required to produce \(45 \mathrm{~g}\) of \(\mathrm{Al}\) from molten \(\mathrm{Al}_2 \mathrm{O}_3\).

A \(1 \mathrm{~F}\)
B \(3 \mathrm{~F}\)
C \(5\mathrm{~F}\)
D \(7 \mathrm{~F}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(5\mathrm{~F}\)

Step-by-step Solution

Detailed explanation

\(
\mathrm{Al}^{3+}+3 \mathrm{e}^{-} \longrightarrow \mathrm{Al}
\)
The equation shows that 3 moles of electrons are required to produce 1 mole of \(\mathrm{Al}\) (i.e., \(27 \mathrm{~g}\) of \(\mathrm{Al}\) ).
\(\therefore3 \mathrm{~F}\) of electricity is required to produce \(27 \mathrm{~g}\) of \(\mathrm{Al}\) from molten \(\mathrm{Al}_2 \mathrm{O}_3\).
\(\therefore\) Faradays of electricity required to produce \(45 \mathrm{~g}\) of \(\mathrm{Al}=\frac{3}{27} \times 45=5 \mathrm{~F}\)

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.

Same subject

Explore more questions on app

From MHT CET

Explore more questions on app