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Question: The current flowing in a copper voltameter is 1.6 A. The number of \(Cu^{+ +}\) ions deposited at th...

The current flowing in a copper voltameter is 1.6 A. The number of Cu++Cu^{+ +} ions deposited at the cathode per minute are

A

1.5×10201.5 \times 10^{20}

B

3×10203 \times 10^{20}

C

6×10206 \times 10^{20}

D

1×10191 \times 10^{19}

Answer

3×10203 \times 10^{20}

Explanation

Solution

Charge Q = I t = 1.6 × 60 = 96 C

Let n be the number of Cu+2Cu^{+ 2} ions, then

ne=Qne = Q ⇒ n=Qe=962×1.6×10−19=3×1020n = \frac{Q}{e} = \frac{96}{2 \times 1.6 \times 10^{- 19}} = 3 \times 10^{20}