Skip to content
Question of 115

Q.(a) State Kohlrausch's Law. [1]

(b) Calculate the electromotive force (e.m.f.) of the following cell at 25°C - Zn∣Zn2+(0.01M)∣∣Ag+(1.0M)∣AgZn|Zn^{2+}(0.01M)||Ag^{+}(1.0M)|Ag, Ecell0=1.56VE^0_{cell}=1.56V (at 25°C) [2]
(OR)
(a) Write the Nernst Equation. [1]
(b) Write cell reactions for the following cells -
(i) Fe∣Fe2+∣∣H2SO4∣H2(Pt)Fe|Fe^{2+}||H_2SO_4|H_2(Pt)
(ii) (Pt)H2∣HCl∣∣Cl2(Pt)(Pt)H_2|HCl||Cl_2(Pt) [2]
Uttarakhand UbseUttarakhand Board Intermediate (Class 12) 2023Subjective· 3mImportance★★★★★
0% · 0/115 Questions
🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

Kohlrausch's law adds up limiting ionic conductivities; the Nernst equation adjusts Ecell0E^0_{cell} for non-standard concentrations.

  1. Kohlrausch's Law: At infinite dilution, the limiting molar conductivity of an electrolyte can be expressed as the sum of the individual contributions of its constituent cation and anion (i.e., each ion migrates and conducts independently of the other ion of the electrolyte): Λm0=ν+λ+0+ν−λ−0\Lambda^0_m =\nu_+\lambda^0_+ +\nu_-\lambda^0_- where ν+,ν−\nu_+,\nu_- are the number of cations/anions furnished by one formula unit of the electrolyte and λ+0,λ−0\lambda^0_+,\lambda^0_- are the limiting molar ionic conductivities of the cation and anion.
  2. EMF of the cell Zn∣Zn2+(0.01M)∣∣Ag+(1.0M)∣AgZn|Zn^{2+}(0.01M)||Ag^+(1.0M)|Ag, Ecell0=1.56 VE^0_{cell}=1.56\ V: Cell reaction: Zn(s)+2Ag+(aq)→Zn2+(aq)+2Ag(s)Zn(s) + 2Ag^+(aq) \rightarrow Zn^{2+}(aq) + 2Ag(s), n=2n=2 Nernst equation: Ecell=Ecell0−0.0591nlog⁡[Zn2+][Ag+]2E_{cell} = E^0_{cell} - \dfrac{0.0591}{n}\log\dfrac{[Zn^{2+}]}{[Ag^+]^2} Ecell=1.56−0.05912log⁡0.01(1.0)2=1.56−0.02955×(−2)=1.56+0.0591=1.619 VE_{cell} = 1.56 - \dfrac{0.0591}{2}\log\dfrac{0.01}{(1.0)^2} = 1.56 - 0.02955\times(-2) = 1.56 + 0.0591 = 1.619\ V OR:

(a) Nernst Equation: For a general electrode/cell reaction, the electrode/cell potential under non-standard conditions is related to the standard potential by:

Ecell=Ecell0−2.303RTnFlog⁡Q=Ecell0−0.0591nlog⁡Q (at 298 K)E_{cell} = E^0_{cell} - \dfrac{2.303RT}{nF}\log Q = E^0_{cell} - \dfrac{0.0591}{n}\log Q\ (\text{at }298\ K) …

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.