Question 58

The mass of silver (Molar mass of Ag : $$108 \text{ g mol}^{-1}$$) displaced by a quantity of electricity which displaces $$5600$$ mL of $$O_2$$ at S.T.P. will be ______ g.


Correct Answer: 108

At STP, 5600 mL of $$O_2$$ = 5.6 L of $$O_2$$.

Moles of $$O_2 = \frac{5.6}{22.4} = 0.25$$ mol.

The electrolytic reaction for oxygen at the anode:

$$2H_2O \to O_2 + 4H^+ + 4e^-$$

So 1 mol of $$O_2$$ requires 4 mol of electrons. Therefore, 0.25 mol $$O_2$$ requires $$0.25 \times 4 = 1$$ mol of electrons.

For silver deposition at the cathode:

$$Ag^+ + e^- \to Ag$$

1 mol of electrons deposits 1 mol of Ag = 108 g.

Mass of silver displaced = $$1 \times 108 = 108$$ g.

The answer is $$\boxed{108}$$ g.

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