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NEET CHEMISTRYMedium

Mass in grams of copper deposited by passing 9.6487 A9.6487\text{ A} current through a voltmeter containing copper sulphate for 100 seconds100\text{ seconds} is (Given: Molar mass of Cu: 63 g mol163\text{ g mol}^{-1}, 1 F=96487 C mol11\text{ F} = 96487\text{ C mol}^{-1})

A

0.315 g

B

31.5 g

C

0.0315 g

D

3.15 g

Step-by-Step Solution

Given: Current (II) = 9.6487 A9.6487\text{ A} Time (tt) = 100 s100\text{ s} Molar mass of Cu (MM) = 63 g mol163\text{ g mol}^{-1} Faraday's constant (FF) = 96487 C mol196487\text{ C mol}^{-1}

Total charge (QQ) passed through the solution is: Q=I×t=9.6487×100=964.87 CQ = I \times t = 9.6487 \times 100 = 964.87\text{ C}

The reduction reaction for copper from copper sulphate is: Cu2++2eCu(s)Cu^{2+} + 2e^- \rightarrow Cu(s) Here, n=2n = 2 moles of electrons are required to deposit 1 mole1\text{ mole} (63 g63\text{ g}) of copper.

According to Faraday's first law of electrolysis, the mass (mm) deposited is: m=M×Qn×Fm = \frac{M \times Q}{n \times F} m=63×964.872×96487m = \frac{63 \times 964.87}{2 \times 96487} m=632×(964.8796487)m = \frac{63}{2} \times \left(\frac{964.87}{96487}\right) m=31.5×0.01=0.315 gm = 31.5 \times 0.01 = 0.315\text{ g}

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