The concentration of manganese ion is 0.150 M
Using the Nernst equation, we can write as follows;
Ecell= E0 cell-0.0592/n logQ
logQ=Ecell- E0 cell/-0.0592V/n
log(Mn^+/Cd^2+)= 0.55V-0.7724V/-0.0592V/2
log(0.090+x/0.060-x)=24.2365
Taking logarithm both sides, we get
0.090+x/0.060-x=10^24.2365
x=0.06 M(on solving)
So the concentration of [Mn^2+] is 0.090+x=0.090+0.06=0.150 M
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