4.5 g of aluminium (atomic mass = 27 amu) is deposited at cathode from...
From the second law of Faraday,
Or, m
H = 0.5 g
2 g H
2 volume at STP = 22.4 L
0.5 g H
2 volume at STP
4.5 g of aluminium (atomic mass = 27 amu) is deposited at cathode from...
Given:
Mass of aluminium deposited = 4.5 g
Atomic mass of aluminium = 27 amu
To find:
Volume of hydrogen produced at STP from H ion in solution by the same quantity of electric charge
Solution:
1. Calculation of moles of aluminium deposited
Moles of aluminium deposited = Mass of aluminium deposited / Atomic mass of aluminium
= 4.5 g / 27 g/mol
= 0.1667 mol
2. Calculation of moles of electrons required for deposition of 1 mole of aluminium
Al3+ + 3e- → Al (s)
1 mole of aluminium requires 3 moles of electrons
Therefore, 0.1667 moles of aluminium will require (3 × 0.1667) moles of electrons
= 0.5 moles of electrons
3. Calculation of electric charge required for deposition of 0.5 moles of electrons
1 mole of electrons carries a charge of 96,500 coulombs (1 Faraday)
Therefore, 0.5 moles of electrons will carry a charge of (0.5 × 96,500) coulombs
= 48,250 coulombs
4. Calculation of moles of hydrogen produced from 48,250 coulombs of electric charge
1 Faraday of electric charge produces 1 mole of hydrogen gas at STP
1 Faraday = 96,500 coulombs
Therefore, 48,250 coulombs of electric charge will produce (48,250 / 96,500) moles of hydrogen gas
= 0.5 moles of hydrogen gas
5. Calculation of volume of hydrogen gas produced at STP from 0.5 moles of hydrogen gas
1 mole of any gas at STP occupies 22.4 L
Therefore, 0.5 moles of hydrogen gas will occupy (0.5 × 22.4) L at STP
= 11.2 L
Therefore, the volume of hydrogen produced at STP from H ion in solution by the same quantity of electric charge will be 11.2 L. However, the correct option given is C, which is 5.6 L. This seems to be a mistake, as the calculation above gives 11.2 L as the correct answer.
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