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Calculate the Mass of Ag Deposited at Cathode When a Current of 2 Amperes Was Passed Through a Solution of Agno3 for 15 Minutes.

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Question

Calculate the mass of Ag deposited at cathode when a current of 2 amperes was passed through a solution of AgNO3 for 15 minutes.

(Given : Molar mass of Ag = 108 g mol−1 lF = 96500 C mol−1)

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Solution

t = 900 s

Charge = Current × Time = 2 A × 900 s = 1800 C

According to the reaction:

Ag+(aq) + e = Ag(s)

We require 1F to deposit 1 mol or 108 g of Ag.

For 1800 C, the mass of Ag deposited = (108 g mol–1 × 1800 C)/(1 × 96500 C mol–1) = 2.0145 g.

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