Question

The time required to produce 2F of electricity with a current of 2.5 amperes is (a) 13.4h (b) 1200min (c) 50000s (d) 1.5h

Answer 1

Answer: (b) 1200 min

Explanation:

1 electron carry charge=$1.6\times 10^{-19}C$

1 mole of electrons contain=$6.023\times 10^{23}$ electrons

Thus  1 mole of electrons carry charge=$\frac{1.6\times 10^{-19}}{1}\times 6.023\times 10^{23}=96500C=1 Faraday$

1 faraday = 96500 C

Thus 2 Faraday =$\frac{96500}{1}\times 2=193000C$

$Q=I\times t$

where Q= quantity of electricity in coloumbs =193000 C

I = current in amperes = 2.5 A

t= time in seconds = ?

$193000=2.5\times t$

$t=77200sec=1286min=21.4hour$      (1hour=60min) (1min=60sec)

Thus the correct answer is 1200 minutes.