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Electrochemistry

Question
CBSEENCH12006022

Write the Nernst equation and emf of the following cells at 298 k.
Sn(s) | Sn2+ (0.050 M) || H+(0.020 M) H2(g) (1bar) Pt (s)

Solution

For the given cell Anode reaction:
Sn(s) → Sn2+ (aq) + 2e 

Cathode reaction:
2H+(aq) + 2e → H2(g) 

Overall cell reaction:
Sn(s) + 2H(aq) → Sn2+(aq) + H2(g)

Here, n = 2, E°cell = E°cathode – E°anode = 0 – (– 0.14 V) = + 0.14 V.
The Nernst equation for Ecell and 298 k can be written as:
Ecell = E0cell - 0.059nlog Sn2+H+2        = 0.14 - 0.059n log 0.050.022        = 0.14 V - 0.0295 (log 1.25 × 102)         = 0.14 V -0.0295 × 2.0969         = 0.14 - 0.0619          = 0.0781 V