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Explain why electrolysis of aqueous solu...

Explain why electrolysis of aqueous solution of NaCl gives `H_(2)` at cathode and `Cl_(2)` at anode. Write the overall reaction. [Given : `E_(Na^(+)//Na)^(@) = -2.71 V, E_(Cl_(2)//2Cl^(-))^(@) = 1.36 V`]
`1/2 O_(2)(g) + 2H^(+) (aq) + 2e^(-) to H_(2)O (l), E^(@) = 1.23 V`

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The electrode reactions may be represented as under:
`NaCl(aq) to Na^(+) (aq) + Cl^(-) (aq)`
`H_(2)O(l) to H^(+) (aq) + OH^(-)` (aq)
At cathode: `2H^(+) (aq) + 2e^(-) to H_(2)` (g)
It is because reduction potential of `E_(H^(+)//H_(2))^(@)` is greater than that of `E_(Na^(+)//Na)^(@)`
At anode: `2Cl^(-)(aq) -2 e^(-) to Cl_(2) (g)`
It is because of overvoltage i.e., energy required to liberate `O_(2)` is more than that required to liberate `Cl_(2)`
Overall reaction: `2NaCl (aq) + 2H_(2)O (l) overset("Electrolysis") to H_(2)(g) + Cl_(2) (g) + 2Na^(+) (aq) + 2OH^(-)` (aq)
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(a). Explain why electrolysis of an aqueous solution of NaCl gives H_(2) at cathode and Cl_(2) at anode. Given E_(Na^(+)//Na)^(@)=-2.71V,E_(H_(2)O//H_(2)^(@)=-0.83V E_(Cl_(2)//2Cl^(-))^(@)=+1.36V,E_(2H^(+)//(1)/(2)O_(2)//H_(2)O)^(@)=+1.23V (b). The resistance of a conductivity cell when filled with 0.05 M solution of an electrolyte X is 100Omega at 40^(@)C . the same conductivity cell filled with 0.01 M solution of electrolyte Y has a resistance of 50Omega . The conductivity of 0.05M solution of electrolyte X is 1.0xx10^(-4)scm^(-1) calculate (i). Cell constant (ii). conductivity of 0.01 M Y solution (iii). Molar conductivity of 0.01 M Y solution.

Assertion (A): The electrolysis of NaCl solution gives H_(2)(g) at cathode and Cl_(2)(g) at anode. Reason (R) : Cl_(2) has higher oxidation potential than H_(2)O

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If the half cell reactions are given as (i) Fe^(2+)(aq)+2e^(-)rarrFe(s),E^(@)=0.44V (ii) 2H^(+)(aq)+ 1//2O_(2)(g)+2e^(-)rarrH_(2)O(l),E^(@)=+1.23V The E^(@) for the reaction.

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