An electric current is passed through electrolytic cells in series one containing `Ag(NO_(3))`(eq) and other `H_(2)SO_(4)` (aq). What volume of `O_(2)` measured at `25^(@)C` and `750`mm Hg pressure would be liberated form `H_(2)SO_(4)` if
(a) one mole of `Ag^(+)` is deposited from `AgNO_(3)` solution
(b) `8 xx 10^(22)` ions of `Ag^(+)` are deposited from `AgNO_(3)` solution.

Answer

(a) `V(O_(2)) =6.2L`, (b) `V(O_(2)) =0.824L`

Explanation

`I : 2H_(2)O rarr 4H^(+) +O_(2) +4e^(-)`
`Ag^(+) +e^(-) rarr Ag`
`n_(E) = n_(Ag) = 1`
`n_(O_(2)) = (1)/(4)`
From `PV = nRT`
`V_(O_(2)) = 6.2L`
II: `n_(Ag^(+)) = n_(E) = 0.133`
`n_(O_(2)) = (1)/(4) xx 0.133`
From `PV = nRT`
`V_(O_(2)) = 0.824L`