Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER 2016
Exam
JIPMER
Year
2016
Subject
Chemistry
Chapter
Electrochemistry

JIPMER 2016 · Chemistry · Electrochemistry

For the cell reaction Pb+Sn^ 2+ Pb^ 2+ +Sn Given that, Pb Pb^ 2+ ,...

For the cell reaction Pb+Sn2+⟶Pb2++Sn\mathrm{Pb}+\mathrm{Sn}^{2+} \longrightarrow \mathrm{Pb}^{2+}+\mathrm{Sn} Given that, Pb⟶Pb2+,E∘=0.13 V\mathrm{Pb} \longrightarrow \mathrm{Pb}^{2+}, E^{\circ}=0.13 \mathrm{~V} Sn2++2e−⟶Sn;E∘=−0.14 V\mathrm{Sn}^{2+}+2 e^{-} \longrightarrow \mathrm{Sn} ; E^{\circ}=-0.14 \mathrm{~V} What would be the ratio of cation concentration for which E=OE=O ?

Options

  1. A1/4
  2. B1/2
  3. C1/3
  4. D1/1

Correct answer

B. 1/2

Step-by-step solution

For the given cell reaction, E_{\text{cell }^{\circ}=-0.14 \mathrm{ V}+0.13 \mathrm{ V}=-0.01 \mathrm{ V} According to Nerstequation,Nerst equation,\begin{aligned} E_{\text{cell }} & =E_{\text{cell }^{\circ}-\frac{0.0591}{2} \log \frac{\left[\mathrm{Pb}^{2+}\right]}{\left[\mathrm{Sn}^{2+}\right]} \\ \Rightarrow \quad 0 & =-0.01=\frac{0.0591}{2} \log \frac{\left[\mathrm{Pb}^{2+}\right]}{\left[\mathrm{Sn}^{2+}\right]}\end{aligned}⇒log⁡[Pb2+][Sn2+]=0.01−0.0296=−0.3⇒[Pb2+][Sn2+]=antilog⁡(−0.3)⇒[Pb2+][Sn2+]=0.5\begin{aligned} & \Rightarrow \quad \log \frac{\left[\mathrm{Pb}^{2+}\right]}{\left[\mathrm{Sn}^{2+}\right]}=\frac{0.01}{-0.0296}=-0.3 \\ & \Rightarrow \quad \frac{\left[\mathrm{Pb}^{2+}\right]}{\left[\mathrm{Sn}^{2+}\right]}=\operatorname{antilog}(-0.3) \\ & \Rightarrow \quad \frac{\left[\mathrm{Pb}^{2+}\right]}{\left[\mathrm{Sn}^{2+}\right]}=0.5 \\ & \end{aligned}$$
Practice Electrochemistry on Quantrex Academy →

More from Electrochemistry

Calculate the conductivity of 0.025 M BaCl_2 solution if the molar conductivity of salt… MHT CET Medical 2026Calculate the equilibrium constant at 25\ ^ ^ ∘ C for the cell reaction, Ni(s) + Cu^ 2+… MHT CET Medical 2026Calculate the time required in second to deposit 5.85 g Ni from NiCl_2 solution by… MHT CET Medical 2026Which of the following cell reactions is exhibited by fuel cell? MHT CET Medical 2026Which of the following types of cells is used for electroplating? MHT CET Medical 2026Which of the following acts as a cathode in a dry cell? MHT CET Medical 2026What is the Standard cell potential of a cell constituted by two electrodes, A (E^0_… MHT CET Medical 2026How long (in minutes) must a 2\ A current be passed through AgNO_3 solution to deposit… MHT CET Medical 2026 Full Electrochemistry list All JIPMER PYQs