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Q.A current of 1.608 A is passed through 250 mL of a 0.5M solution of copper sulphate for 50 minutes. Calculate the strength of Cu2+\text{Cu}^{2+} after electrolysis, assuming volume to be constant and the current efficiency is 100%.

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Step 1. Charge passed: t=50×60=3000t = 50\times60=3000 s, Q=It=1.608×3000=4824Q=It=1.608\times3000=4824 C.

Step 2. Copper deposition: Cu2++2e−→Cu\text{Cu}^{2+}+2e^- \rightarrow \text{Cu}, n=2, so moles of Cu deposited =QnF=48242×96500=4824193000=0.025= \dfrac{Q}{nF} = \dfrac{4824}{2\times96500} = \dfrac{4824}{193000} = 0.025 mol.

Step 3. Initial moles of Cu²⁺: 0.250 L×0.5 mol/L=0.1250.250\ \text{L}\times0.5\ \text{mol/L} = 0.125 mol.

Step 4. Remaining moles of Cu²⁺ after electrolysis: 0.125−0.025=0.10.125-0.025 = 0.1 mol. …

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