First slide

Nernst Equation

Question

$\large Z{n_{\left( s \right)}} + \,C{l_2}\left( {1atm} \right)\, \to \,Z{n^{2 + }} + 2C{l^ - }$

The E⁰ of the cell is 2.12 V. To increase E

Easy

A

Zn²⁺ concentration should be increased
B

Zn²⁺ concentration should be decreased
C

Cl^– concentration should be increased
D

Partial preassure of Cl₂ should be decreased.

Solution

According to Nernst Equation
$E_{cell}\;={E_{cell}^o}-\frac{0.0591}{2}\;log\frac{[Zn^{+2}][Cl^{-}]^{2}}{p{_{Cl_{2}}}}$
$E_{cell}\;=2.12-\frac{0.0591}{2}\;log\frac{[Zn^{+2}][Cl^{-}]^{2}}{1}$
$E_{cell}\propto\;-\log{[Zn^{+2}][Cl^{-}]^{2}}$
Decrease in concentration of [Zn]⁺² and [Cl]^-will increase E_cell.
Special note
when all concentrations are constant
$E_{cell}\propto\;-\frac{1}{p_{Cl_{2}}}$
When pressure of Cl₂increases E_cellincreases.

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