Molar mass of oxygen (O₂) = 32 g/mol Molar mass of silver (Ag) = 108 g/mol
The balanced equation for the electrolysis of silver nitrate (AgNO₃) is: 2 AgNO₃ (aq) -> 2 Ag (s) + O₂ (g) + 2 NO₂ (g)
According to the equation, for every 4 moles of AgNO₃ electrolyzed, 2 moles of Ag are deposited on the cathode, and 1 mole of O₂ is produced on the anode.
Given that 12 g of O₂ is generated, we can calculate the amount of Ag deposited as follows:
1 mole of O₂ = 32 g 2 moles of Ag = 2 × 108 g
Therefore, the amount of Ag deposited is (12 g O₂) × (2 moles Ag / 32 g O₂) = 0.75 moles Ag.
To calculate the mass of Ag, we use the equation:
Mass of Ag = Moles of Ag × Molar mass of Ag = 0.75 moles × 108 g/mol = 81 g.
Thus, the mass of silver deposited on the cathode is 81 g.
