Dal lake has water `8.2 xx 10^(12)`litre approximately. A power reactor produces electricity at the rate of `1.5 xx 10^(6)` colulomb per second at an appropriate voltage. How many years would it take to electrolyse the lake?

Answer

`1.9` million year

Explanation

At anode: `2H_(2)O rarr 4H^(+) +O_(2) +4e^(-)`
At anode: `2H_(2)O +2e^(-) rarr H_(2) +2OH^(-)`
Not reaction: `2H_(2)O rarr 2H_(2) +O_(2)`
4 Faraday `rarr 2` mole `H_(2)O = 36g = 36 mL`
`1mL H_(2)O rarr (4 xx 96500)/(36)` Faraday
`8.2 xx 10^(15) mL H_(2)O.. (4 xx 96500)/(36) xx8.2 xx 10^(15)` Faraday
`t = (4 xx 96500 xx 8.2 xx 10^(15))/(36 xx 1.5 xx 10^(-6)) sec =- 5.861 xx 10^(13)sec`.
`=1.858 xx10^(6)` years.