Home Chemistry Electrochemistry General Consider the cell : Pt | H 2 | NaOH (aq), Na…
Chemistry Electrochemistry General Single Correct MCQ
Published on: August 13, 2026

Consider the cell :

Pt | H 2 | NaOH (aq), NaCl (aq) | AgCl (s) | Ag

(0.01 M) (0.012 M)

at TºC

E cell = 1.05 V and = 0.22 V

Using this knowledge ; and taking = 0.06 (log 1.2 = 0.08)

Answer the following questions.

(i) Which of the following is overall cell reaction for the given reaction ?

A
H 2 (g) + AgCl(s) ⎯→ H + (aq) + Cl¯ (aq) + Ag 14.91 It is greater than 25ºC
B
H 2 (g) + 2OH¯ (aq) + 2AgCl(s) ⎯→ 2H 2 O + 2Ag(s) + 2Cl¯ (aq) 12.91 It is smaller than 25ºC
C
H 2 + 2Ag + ⎯→ 2H + + Ag 13.91 It is equal to 25ºC
D
H 2 + 2OH¯ + 2Ag + ⎯→ 2Ag + 2H 2 O (ii) Find the value of pK w of water at TºC. 14.15 (iii) What can be said about the temperature TºC ? Nothing can be said from given information

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Text Solution

Verified by Experts
The correct answer is:
A

(i) Overall reaction should be the one which is written in term of species present in the given electrode/cell.

Hence at anode H 2 + 2OH¯ ⎯→ 2H 2 O + 2e –

At cathode 2AgCl + 2e – ⎯→ 2Ag + Cl¯

(ii) We can assume the given cell to be

Pt | H 2 | H + (aq), Cl¯ (aq) | AgCl (s) | Ag

With this assumption , =

= 0.22 V

And cell reaction is

H 2 (g) + AgCl(s) ⎯→ H + (aq) + Ag(s) + Cl¯(aq)

⇒ E cell = log (H + ) (Cl – )

1.05 = 0.22 – 0.06 log (Cl¯)

0.83 = 0.06

= pK w – log

= pK w – log(1.2)

⇒ pK w = + log(1.2) = 13.91

(iii) pK w = 13.91

i.e. K w > 10 –14

Hence T is greater than 25ºC.

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