Question
An electrochemical cell is set up as : $$Pt;{H_2}\left( {1\,atm} \right)\left| {HCl\left( {0.1\,M} \right)} \right|$$ $$\left| {C{H_3}COOH\left( {0.1\,M} \right)} \right|{H_2}\left( {1\,atm} \right);Pt.$$ The $$e.m.f$$ of this cell will not be zero, because
A.
the temperature is constant
B.
$$e.m.f$$ depends on molarities of acids used
C.
acids used in two compartments are different
D.
$$pH$$ of $$0.1\,M\,HCl$$ and $$0.1\,M\,\,C{H_3}COOH$$ is not same
Answer :
$$pH$$ of $$0.1\,M\,HCl$$ and $$0.1\,M\,\,C{H_3}COOH$$ is not same
Solution :
For a concentration cell having different concentrations of $$ions.$$
$$E = - \frac{{0.0591}}{n}\log \frac{{{c_1}}}{{{c_2}}}$$
If all the concentrations are identical then obviously the cell voltage is zero. But as the $$pH$$ of $$0.1\,M\,HCl$$ ( strong acid ) and $$pH$$ of $$0.1\,M\,\,C{H_3}COOH$$ is ( weak acid ) not same,
therefore the cell voltage is not zero.