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← JEE Advanced 2025 · Paper 1
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JEE Advanced 2025 · Paper 1, Chemistry question 8

In an electrochemical cell, dichromate ions in aqueous acidic medium are reduced to CrX3+\ce{Cr^3+}. The current (in amperes) that flows through the cell for 48.25 minutes to produce 1 mole of CrX3+\ce{Cr^3+} is _____.

Use: 1 Faraday =96500 C mol−1= 96500\ \mathrm{C\,mol^{-1}}

Answer and worked solution

Official answer: 100

In CrX2OX7X2−\ce{Cr2O7^2-} chromium is +6, so each CrX3+\ce{Cr^3+} formed needs 3 electrons.

Charge. For 1 mol CrX3+\ce{Cr^3+}: Q=3×96500=289500Q=3\times96500=289500 C.

Current. t=48.25×60=2895t=48.25\times60=2895 s, so
I=2895002895=100 A.I=\frac{289500}{2895}=100\ \text{A}.