Question 33

A current of 10 A flows for 2 hours through an electrolytic cell containing a molten salt of metal X and results in the deposition of 0.25 moles of metal X at cathode. The oxidation state X in the electrolysed salt is ____ .


Correct Answer: 3

Solution

The charge passed is $$10 \times 7200 = 72000\text{ C}$$, which is $$\frac{72000}{96500} \approx 0.75$$ faraday. Depositing 0.25 mol of X needs $$\frac{0.75}{0.25} = 3$$ mol of electrons per mole of X. So the oxidation state of X is $$+3$$.

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