The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resulting potential difference across the cell is important in several processes such as transmission of nerve impulses and maintaining the ion balance. A simple model for such a concentration cell involving a metal M is :
M(s) | M + (aq ; 0.05 molar) || M + (aq ; 1 molar) | M(s)
For the above electrolytic cell, the magnitude of the cell potential is | E cell | = 70 mV.
Now answer the following two questions :
(i) For the above cell :
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) M (s) | M + (aq, 0.05 M) || M + (aq, 1 M) | M(s)
Anode : M (s) ⎯→ M + (aq) + e –
Cathode : M + (aq) + e – ⎯→ M (s)
M + (aq) | c 
M + (aq) | a
E cell = E° cell – 
log 
= 0 – 
log 
= + ve = 70 mV and hence Δ G = – nFE cell = – ve.
(ii) E cell = 
log 
= 
log 
= 70 mV + 
log 20 = 140 mV.
(iii) 
(iv) E = Eº – 
log 
= 1.67 – 
log 
= 1.67 – 
log10 7
= 1.67 – 
× 7 = 1.67 – 0.105 = 1.565 = 1.57 V.
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