Chapter 18, Problem 18.4KSP

Interpretation Introduction

Interpretation:

The metal has to be identified from the given options for the given solution.

Concept introduction:

The total number of charges that flow through the circuit is impact on the amount of metal deposited on the electrode. It can be calculated in successive steps. Since coulomb is the amount of electric charge flowing in a circuit in 1s, when current is 1A. So the above statement can be represented by the following equation.

$\text{Charges}\text{(in}\text{coulombs)}\text{=}\text{Current}\text{(in}\text{ampheres)}\text{×}\text{time}\text{(s)}$

On dividing the number of charges with Faraday constant we can get the number of moles of electron

$\text{Number}\text{of}\text{moles}\text{of}\text{electron}\text{=}\text{charges/Faraday constant (96500 C/mole of electron)}$

From knowing the number of mole of electrons and using the stoichiometry of the reaction, the number of moles of the substance reduced or oxidized can be determined.

$\text{Number}\text{of}\text{mole}\text{of}\text{metal}\text{=}{\text{n mole e}}^{-}\text{×}\frac{\text{1}\text{mole}\text{of}\text{metal}}{\text{2mole}\text{of}{\text{e}}^{\text{-}}}$

$\text{Mass}\text{}\text{of}\text{element =}\text{Number}\text{of}\text{mole}\text{of}\text{element}\text{×}\text{Atomic}\text{mass}\text{of}\text{element}$