Question

If a current of $1.5$ ampere flows through a metallic wire for $3$ hours, then how many electrons would flow through the wire?

• A. $2.25\times {10}^{22}$ electrons
• B. $1.13\times {10}^{23}$ electrons
• C. $1.01\times {10}^{23}$ electrons
• D. $4.5\times {10}^{23}$ electrons

Answer 1

Answer: (C)

$1.01\times {10}^{23}$ electrons

According to this Faraday's first law, the chemical deposition due to the flow of current through an electrolyte is directly proportional to the quantity of electricity (coulombs) passed through it.

So, $Q=I\times t=1.5\times 3\times 60\times 60=16200C$

Charge on one electron $=1.601\times {10}^{-19}C$

Now,

16200C charge is on $\frac{1\times 16200}{1.601\times {10}^{-19}}$ electrons $=1.01\times {10}^{23}$.