(a) The e.m.f. of the following cell at 298 K is 0.1745 V
Fe (s) / Fe2+(0.1 M)//H+(xM)/ H2 (g) (1 bar)/ Pt (s)
Given:
= -0.44V
Calculate the H+ ions concentration of the solution at the electrode where hydrogen is being produced.
(b)Aqueous solution of copper sulphate and silver nitrate are electrolysed by 1 ampere current for 10 minutes in separate electrolytic cells. Will the mass of copper and silver deposited on the cathode be same or different? Explain your answer.
OR
(a) Calculate the degree of dissociation of 0.0024 M acetic acid if conductivity of this solution is 8.0 × 10-5 S cm-1.
Given:
= 349.6 S cm2 mol-1;
= 40.9 S cm2 mol-1
(b) Solutions of two electrolytes ‘A’ and ‘B’ are diluted. The limiting molar conductivity of ‘B’ increases to a smaller extent while that of ‘A’ increases to a much larger extent comparatively. Which of the two is a strong electrolyte? Justify your answer.
(a)The electrode reaction is given as
Fe(s) + 2H+→ Fe2+(aq) + 2e- + H2(g)
Fe → Fe2+ + 2e-
Applying Nernst equation,
Ecell = E0cell - ![]()
0.175 = -0.44V - ![]()
0.615 = -(0.0591/2)log(0.1/[H+])
-20.795 = log(0.1/[H])
-20.795 = log0.1 – logH+
Log[H+] = -19.795
Taking antilogs,
[H+] = 6.24 x 1019
(b)Given,
t = 10 mins = 600s
charge = current x time = 1A x 600s = 600C
The reaction is given by Cu2+(aq) + 2e-→ Cu(s)
We need 2 x 96500C to deposit 1 mol or 63g of copper on the electrode, for 900C the amount of copper deposited will be 0.29g.
The amount of silver and copper deposited will be different because Ag has a different molar mass and equivalent mass.
OR
(a)κ = 8.0 × 10-5 S cm-1
C = M = 0.0024M
Molar conductivity
= 40.9 S cm2 mol-1
Degree of dissociation is given by,
α =
/
= 40.9 S cm2mol-1/349.6 S cm2mol-1
= 0.11
(b)‘B’ is the strong electrolyte because on dilution of a strong electrolyte, number of ions almost remain the same. Only the interionic attraction decreases and therefore the increase in limiting molar conductivity of ‘B’ is small. This is because on dilution for both strong and weak electrolyte, there is increase in molar conductivity. But it has been observed that there is a large increase in molar conductivity of weak electrolyte on dilution than strong electrolyte. Because, weak electrolytes dissociate very less at higher concentration. On dilution, degree of dissociation of weak electrolyte increases means there is increase in number of ions per unit volume. Hence, ‘A’ is the weaker electrolyte. On the other hand, for strong electrolyte, degree of dissociation increases slowly on dilution. Thus, ‘B’ whose limiting molar conductivity increases to a lesser extent is strong electrolyte.
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