1.

(a) Write the cell reaction and calculate the emf of the following cell at 298 K : Sn (s) | Sn^(2+) (0.004 M) | | H^(+) (0.020 M) | H^2 (g) (1 bar) | Pt (s) [Given : E_(Sn^(2+)//Sn)^(@) = - 0.14 V] (b) Give reasons : (i) On the basis of E° values, O_(2)gas should be liberated at anode but it is Cl_(2) gas whichis liberated in the electrolysis of aqueous NaCl. (ii) Conductivity of CH_3COOH decreases on dilution.

Answer»

Solution :`SN(s) to Sn^(2+) (aq) + 2e^(-)`
`2H^(+) (aq) + 2e^(-) to H_(2)(g)`
`Sn(s) + 2H^(+) (aq) to Sn^(2+) (aq) + H_(2)(g)`
emf of the cell `=E^(@) -0.059/2 log 0.004/(0.020)^(2)`
(i) In the electrolysis of NaCl solution, the following oxidation reactions are possible :
`Cl^(-) (aq) to 1/2 Cl_(2) (g) + e^(-), E_("cell"^(@) = 1.36 V`
`2H_(2)O (l) to O_(2) (g) + 4H^(+) (aq) + 4e^(-), E_("cell")^(@) = 1.23 V`
The reaction at anode with lower value of E° is PREFERRED and therefore, water should get oxidised in preference to `Cl^(-)`(aq). HOWEVER, on account of overpotential of oxygen, reaction (0 is preferred. Therefore `Cl_(2)`gas is liberated.
(ii) Number of ions present in a GIVEN volume of the solution decrease on dilution. Therefore the conductivity decreases.


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