JEE Main & Advanced JEE Main Paper (Held On 9 April 2014)

  • question_answer
    A current of 10.0 A flows for 2.00 h through an electrolytic cell containing a molten salt of metal X. This results in the decomposition of 0.250 mol of metal X at the cathode. The oxidation state of X in the molten salt is: (F = 96,500 C)   [JEE Main Online Paper ( Held On 09 Apirl  2014  )

    A) 1+                                          

    B) 2 +

    C) 3+                                          

    D) 4 +

    Correct Answer: C

    Solution :

                    According to Faraday?s first law of electrolysis\[W=\frac{E\times i\times t}{96500}\] Where E = equivalent weight \[=\frac{\text{mol}\text{. mass of metal(M)}}{\text{oxidation state of metal(x)}}\] Substituting the value in the formula \[W=\frac{M}{x}\times \frac{i\times t}{96500}\] or\[x=\frac{M}{W}\times \frac{i\times t}{96500}=\frac{10\times 2\times 60\times 60}{96500\times 0.250}=3\] \[\left[ \text{Given:no}\text{. of moles}=\frac{M}{W}=.250 \right]\] Hence oxidation state of metal is (+3)


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