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Electrochemistry · Question 13

JEE Main 2026 (Online) 24th January Evening ShiftNumericalMedium📈 Topic in 19% papers+4
1

Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be 130 of the molar conductivity of another weak acid HZ with concentration of 0.02 M. If Q- happened to be equal to Z-, then the difference of the pKa values of the two weak acids (pKa(HQ) - pKa(HZ)) is (Nearest integer). [Given: degree of dissociation ( ) 1 for both weak acids, : limiting molar conductivity of ions]

Answer

2

Solution

m(HQ) = H+ + Q- = H+ + Z- = m(HZ)

Since = m m and the m values are equal,

HQ HZ = m(HQ) m(HZ) = 130

For 1: Ka = c 2

⇒ Ka(HQ)Ka(HZ) = 0.180.02 ( 130 )2 = 9900 = 1100

∴ pKa(HQ) - pKa(HZ) = - Ka(HQ)Ka(HZ) = - 10-2 = 2

Answer: 2

JEE Main 2026 (Online) 24th January Evening Shift

Keep practising — Electrochemistry

2

In the given electrochemical cell, Ag(s)|AgCl(s)|FeCl2(aq), FeCl3(aq) | Pt(s) at 298 K, the cell potential ( Ecell) will increase when : Choose the correct answer from the options given below :

  1. C, D and E Only
  2. A and B Only
  3. B Only
  4. A and E Only
JEE Main 2026 (Online) 23rd January Morning Shift
3

[figure] Consider the above electrochemical cell where a metal electrode (M) is undergoing redox reaction by forming M+ (M M+ + e-). The cation M+ is present in two different concentrations c1 and c2 as shown above. Which of the following statement is correct for generating a positive cell potential?

  1. If c1 is present at anode, then c1 > c2.
  2. If c1 is present at cathode, then c1 > c2.
  3. If c1 is present at cathode, then c1 < c2.
  4. If c1 is present at anode, then c1 = c2.
JEE Main 2026 (Online) 23rd January Evening Shift
4

Consider the following electrochemical cell at 298 K Pt | HSnO2-(aq) | Sn(OH)62-(aq) | OH-(aq) | Bi2O3(s) | Bi(s). If the reaction quotient at a given time is 106, then the cell EMF ( Ecell) is 10-1 V (Nearest integer). Given the standard half-cell reduction potential as E Bi2O3/Bi,OH- = -0.44 V and E Sn(OH)62-/HSnO2-,OH- = -0.90 V

JEE Main 2026 (Online) 22nd January Morning Shift
5

Consider the following reduction processes : Al3+ + 3e- Al(s), E0 = -1.66 V Fe3+ + e- Fe2+, E0 = +0.77 V Co3+ + e- Co2+, E0 = +1.81 V Cr3+ + 3e- Cr(s), E0 = -0.74 V The tendency to act as reducing agent decreases in the order :

  1. Al > Fe2+ > Cr > Co2+
  2. Al > Cr > Co2+ > Fe2+
  3. Cr > Fe2+ > Al > Co2+
  4. Al > Cr > Fe2+ > Co2+
JEE Main 2026 (Online) 22nd January Evening Shift
6

Consider the following electrochemical cell : Pt | O2(g)(1 bar) | HCl(aq) || M2+(aq, 1.0 M) | M(s) The pH above which, oxygen gas would start to evolve at anode is (nearest integer). [Given : . arrayl E M2+/M = 0.994 V \ E O2/H2O = 1.23 V array \ standard reduction potential and RTF(2.303) = 0.059 V at the given condition]

JEE Main 2026 (Online) 22nd January Evening Shift
7

The pH and conductance of a weak acid (HX) were found to be 5 and 4 10-5 S, respectively. The conductance was measured under standard condition using a cell where the electrode plates having a surface area of 1 cm2 were at a distance of 15 cm apart. The value of the limiting molar conductivity is S m2 mol-1. (nearest integer) (Given : degree of dissociation of the weak acid ( ) 1)

JEE Main 2026 (Online) 21st January Morning Shift
8

For a closed circuit Daniell cell, which of the following plots is the accurate one at a given temperature?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
JEE Main 2026 (Online) 21st January Evening Shift
9

MX is a sparingly soluble salt that follows the given solubility equilibrium at 298 K. MX(s) M+(aq) + X-(aq); Ksp = 10-10 If the standard reduction potential for M+(aq) + e- M(s) is ( E M+/M ) = 0.79 V, then the value of the standard reduction potential for the metal/metal insoluble salt electrode E X-/MX(s)/M is mV. (nearest integer) [Given: 2.303RTF = 0.059 V]

JEE Main 2026 (Online) 21st January Evening Shift
10

Consider the following half cell reaction Cr2O72-(aq) + 6e- + 14H+(aq) 2Cr3+(aq) + 7H2O( ) The reaction was conducted with the ratio of [ Cr3+]2[ Cr2O72-] = 10-6. The pH value at which the EMF of the half cell will become zero is . (nearest integer value) [Given: standard half cell reduction potential E Cr2O72-,H+/Cr3+ = 1.33 V, 2.303RTF = 0.059 V.]

JEE Main 2025 (Online) 8th April Evening Shift
11

Given below are two statements : In the light of the given statements, choose the correct answer from the options given below :

  1. Both Statement I and Statement II are true
  2. Statement I is true but Statement II is false
  3. Both Statement I and Statement II are false
  4. Statement I is false but Statement II is true
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