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 × 1022 electrons
B.
1.13 × 1023 electrons
C.
1.01 × 1023 electrons
D.
4.5 × 1023 electrons
Answer :
1.01 × 1023 electrons
Solution :
$$\eqalign{
& Q = I \times t \cr
& \,\,\,\,\,\, = 1.5 \times 3 \times 60 \times 60 \cr
& \,\,\,\,\,\, = 16200\,C \cr} $$
Charge on 1 electron = 1.602 × 10-19 $$C$$
16200 $$C$$ charge is on $$\frac{{1 \times 16200}}{{1.602 \times {{10}^{ - 19}}}}$$ electrons = 1.01 × 1023 electrons