Question

108 g of silver (molar mass 108 g mol^-1) is deposited at cathode from AgNO₃ (aq) solution by a certain quantity of electricity. The volume (in L) of oxygen gas produced at 273 K and 1 bar pressure from water by the same quantity of electricity is ______.

Options

• 6.03

• 5.68

• 5.02

• 5.96

Answer 1

108 g of silver (molar mass 108 g mol^-1) is deposited at cathode from AgNO₃ (aq) solution by a certain quantity of electricity. The volume (in L) of oxygen gas produced at 273 K and 1 bar pressure from water by the same quantity of electricity is 5.68.

Explanation:

No. of moles of silver deposited = `108/108` = 1 mol

\[\ce{Ag+ + e- -> Ag}\]

1 F charge is required to deposit 1 mole of Ag

\[\ce{H2O -> 1/2 O2 + 2H+ + 2e-}\]

2 F charge deposit `-> 1/2` moles of oxygen

1 F charge will deposit `-> 1/4` moles of oxygen

`"V"_("O"_2) = ("nRT")/"P" = 1/4 xx (0.08314 " L bar K"^-1 "mol"^-1 xx 273 "K")/(1 " bar")`

= 5.675 L