Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2012Paper 2
Exam
JEE Advanced
Year
2012
Paper
Paper 2
Subject
Chemistry
Chapter
Electrochemistry

JEE Advanced 2012 · Paper 2 · Chemistry · Electrochemistry

The electrochemical cell shown below is a concentration cell. M M^...

The electrochemical cell shown below is a concentration cell. M∣M2+\mathrm{M} \mid \mathrm{M}^{2+} (saturated solution of a sparingly soluble salt, \left.\mathrm{MX}_{2}\right) \| \mathrm{M}^{2 \perp}\left(0.001 \mathrm{~mol} \mathrm{dm}^{-3}\right) \mid \mathrm{M}.Theemfofthecelldependsonthedifferenceinconcentrationsof. The emf of the cell depends on the difference in concentrations of\mathrm{M}^{2+}ionsatthetwoelectrodes.Theemfofthecellations at the two electrodes. The emf of the cell at298 \mathrm{~K}isis0.059 \mathrm{~V}.<strong>Question:</strong>Thevalueof. <strong> Question:</strong> The value of\Delta \mathrm{G}(kJmol−1)\left(\mathrm{kJ} \mathrm{mol}^{-1}\right) for the given cell is (take 1 F=96500Cmol−1\mathrm{F}=96500 \mathrm{Cmol}^{-1} )

Options

  1. A−5.7-5.7
  2. B5.75.7
  3. C11.411.4
  4. D−11.4-11.4

Correct answer

D. −11.4-11.4

Step-by-step solution

At anode : M( s)+2X−(aq)⟶MX2(aq)+2e−M(\mathrm{~s})+2 X^{-}(\mathrm{aq}) \longrightarrow M X_{2}(\mathrm{aq})+2 \mathrm{e}^{-} At cathode :M+2(aq)+2e−⟶M( s): M^{+2}(\mathrm{aq})+2 \mathrm{e}^{-} \longrightarrow M(\mathrm{~s}) Thus, here n=2ΔG=−nFEcell =−2×96500×0.059×10−3 kJ/mole=−11.4 kJ/molen=2 \Delta G=-n F E_{\text{cell }} =-2 \times 96500 \times 0.059 \times 10^{-3} \mathrm{~kJ} / \mathrm{mole}=-11.4 \mathrm{~kJ} / \mathrm{mole}
Practice Electrochemistry on Quantrex Academy →

More from Electrochemistry

At 300 K, the molar conductivities of the aqueous solutions of three salts at two… JEE Advanced 2026Given at 298 K: E^ _ Fe^ 2+ /Fe = X Volt; E^ _ Fe^ 3+ /Fe = Y Volt. The E^ _ Fe^ 3+ /Fe^… JEE Main 2026For a general redox reaction Anode : Red_1 arrow Ox_1^ n_1^+ + n_1 e^- Cathode : Ox_2 +… JEE Main 2026Consider the following data. Electrolyte Λ^ ∘ _m (S cm ^2 mol ^ -1 ) BaCl_2 x_1 H_2SO_4… JEE Main 2026One half cell in a voltaic cell is constructed by dipping silver rod in AgNO_3 solution… JEE Main 2026At 298 K , the molar conductivity of x\% (w/w) MX solution (aqueous) is 123.5 S cm^2 mol^… JEE Main 2026An electrochemical cell, consist of the following two redox couples, M^ x+ (aq)/M(s) [E_… JEE Main 2026Consider the following two half-cell reactions along with the standard reduction… JEE Main 2026 Full Electrochemistry list All JEE Advanced PYQs