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Question -

Calculate the standard cellpotentials of galvanic cells in which the following reactions take place:



Answer -

(i) 2Cr(s) +3Cd2+(aq) → 2Cr3+(aq) + 3Cd

(ii) Fe2+(aq)+ Ag+(aq) → Fe3+(aq) + Ag(s)

Calculatethe ΔrGθ and equilibrium constant of thereactions.

Answer

(i)

The galvanic cell of the givenreaction is depicted as:

Now, the standard cell potentialis

In the given equation,

n = 6

F = 96487 C mol−1

 = +0.34 V

Then,  = −6 × 96487 C mol−1 ×0.34 V

= −196833.48 CV mol−1

= −196833.48 J mol−1

= −196.83 kJ mol−1

Again,
 = −RT ln K

= 34.496

 K = antilog (34.496)

= 3.13 × 1034

(ii)

The galvanic cell of the givenreaction is depicted as:

Now, the standard cell potentialis

Here, n = 1.

Then,

= −1 × 96487 C mol−1 ×0.03 V

= −2894.61 J mol−1

= −2.89 kJ mol−1

Again, 

= 0.5073

K = antilog (0.5073)

= 3.2 (approximately)

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