1.

A concentration cell Pt|H_2(g)|HCl(aq)||H_2SO_(4)(aq)|H_2(g)|Pt is constructed using equal concentration of acids and equal number of moles of H_2 gas in both the compartments at the same temperature.If volume of H_2 gas at the anodic compartment is 1/9 times the volume of H_2 gas at cathodic compartment Which of the following is/are correct for the given cell (log 2=0.3, log 3=0.48)(2.303 RT)/F=0.06 V

Answer»

Pressure of `H_2` gas in both the cell compartment are equal
Concentration of `H^(+)` ion in both the cell compartment are unequal
`E_(cell)^(@)=0` for the above cell
`E_(cell)ne0` for the above cell

Solution :`UNDERSET(P_1)(H_2(G))|underset(C)(H^+)||underset(2C)(H^+)|underset(P_2)(H_2(g))`
Anodic reaction
`1/2 H_2 toH^+ +e`
Cathodic reaction
`H^+ +e to 1/2 H^2`
`underset(("anode"))(1/2H_2)+underset(("cathode"))(H^+)tounderset(("cathode"))(1/2H_2)+underset(("anode"))(H^+)`
`E_(cell)^@=0`
`E_(cell)=E_(cell)^@-0.06/1"log"(sqrt((P_(H_2))_("cathode"))xx[H^+]_("anode"))/(sqrt((P_(H_2))_("anode"))xx[H^+]_("cathode"))`
`E_(cell)=-0.06 "log"(sqrt1/9xxC/(2C))=-0.06 "log" 1/(2xx3)=0.06 ("log" 2+ log 3)=0.06(0.3+0.48)=0.0468` volt


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