By the use of the Nernst equation, the concentration of the lead solution is 4.8 * 10^-8 M.
The Nernst equation is the equation that is used to obtain the EMF of a cell under non standard conditions.
Now;
E°cell = -0.01 V
Ecell = 0.21V
[sn2+] = 1.30 M
[pb2+] = ?
From;
Ecell = E°cell - 0.0592/n logQ
The equation is; Sn^+ + Pb ----> Sn(s) + Pb^2+
0.21 = -0.01 - 0.0592/2 log(x/1.30 )
0.21 + 0.01 = -0.0592/2 log(x/1.30 )
0.22/-0.0296 = log(x/1.30 )
-7.43 = log(x/1.30 )
Antilog(-7.43) = x/1.3
x = 4.8 * 10^-8 M
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