Q.

A galvanic cell was constructed by dipping a zinc electrode (anode) in 0.01 M Zn(NO3)2 and hydrogen electrode (cathode) in which 0.2 M HIO3(aq) solution is present.
If EMF of cell at 250C  is x volt then find the value of x
Given: Ka(HIO3)=0.1, partial pressure of H2(g)=0.01 bar
EZn+2/Zn0=0.76V,2.303RTF=0.06

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a

-0.79 V

b

+ 0.82 V

c

0.76 V

d

1.1 V

answer is C.

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Detailed Solution

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At anode:  Zn(s)Zn(aq)2++2e
At cathode:  2H++2eH2
Zn(s)+2Haq+Znaq+2+H2(g) net reaction
HIO3H++IO3CCα     Cα    Cα

Ka=Cα21α1×101=2×101.α21α     2α2+α1=0

α=0.5           [H+]=0.1 M          Ecell=Ecell00.062log[Zn2+]×PH2[H+]2=0.760.062log102×102(10)2=0.79 V = x

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A galvanic cell was constructed by dipping a zinc electrode (anode) in 0.01 M Zn(NO3)2 and hydrogen electrode (cathode) in which 0.2 M HIO3(aq) solution is present.If EMF of cell at 250C  is x volt then find the value of xGiven: Ka(HIO3)=0.1, partial pressure of H2(g)=0.01 barEZn+2/Zn0=0.76V,2.303RTF=0.06