JEE Main · 2020 · 09 Jan 2020 · Shift 1 · Redox Reactions and Electrochemistry

108 g of silver (molar mass

108

g

mol^{- 1}

) is deposited at cathode from

AgNO_{3} (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 ____.

Answer: 5.675

Solution

Depositing

108

g of silver, that is

\frac{108}{108} = 1

mol by

A g^{+} + e^{-} \to Ag

, passes one faraday of charge. At the anode water is oxidised,

2 H_{2} O \to O_{2} + 4 H^{+} + 4 e^{-}

, so four faradays release one mole of

O_{2}

and one faraday releases

\frac{1}{4}

mol. At

273

K and

1

bar the volume is

V = \frac{n R T}{P} = \frac{0.25 \times 0.083 \times 273}{1} \approx 5.67

L, taking

R = 0.083 bar L mo l^{- 1} K^{- 1}

JEE Main · 2020 · 09 Jan 2020 · Shift 1 · Numerical answer

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