Electrolytic Conduction

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JEE Advanced 2025

LEVELJEE Main

In an electrochemical cell, dichromate ions in aqueous acidic medium are reduced to $Cr^{3 +}$ . The current (in amperes) that flows through the cell for $48.25$ minutes to produce $1$ mole of $Cr^{3 +}$ is _______. Use: $1$ Faraday = $96500 C mol^{- 1}$

JEE Advanced 2026

LEVELJEE Advanced

At $300 K$ , the molar conductivities of the aqueous solutions of three salts at two different concentrations are given below : \begin{array}{|c|c|c|} \hline \text{Salt} & \text{Concentration (M)} & \text{Molar conductivity } (\text{S cm}^2 \text{ mol}^{-1}) \\ \hline \text{NaNO}_3 & 0.01 & 111 \\ & 0.04 & 101 \\ \hline \text{NaCl} & 0.01 & 117 \\ & 0.04 & 107 \\ \hline \text{AgNO}_3 & 0.01 & 125 \\ & 0.04 & 116 \\ \hline \end{array} The conductivity of a saturated aqueous solution of $AgCl$ is $1.40 \times 1 0^{- 6} S cm^{- 1}$ at $300 K$ . If the solubility of $AgCl$ in water at $300 K$ is $X mol L^{- 1}$ , then $lo g_{10} (X^{- 1})$ is (Assume that $AgCl$ dissolved in water ionizes completely and that the molar conductivity of saturated $AgCl$ solution is equal to its limiting molar conductivity.)

Plotting $1/ Λ_{m}$ against $c Λ_{m}$ for aqueous solutions of a monobasic weak acid (HX) resulted in a straight line with y-axis intercept of P and slope of S. The ratio P/S is [ $Λ_{m}$ = molar conductivity $Λ_{m}^{\circ}$ = limiting molar conductivity $c$ = molar concentration $K_{a}$ = dissociation constant of HX]

(A)

K_{a} Λ_{m}^{\circ}

(B)

K_{a} Λ_{m}^{\circ} /2

(C)

2 K_{a} Λ_{m}^{\circ}

(D)

1/ (K_{a} Λ_{m}^{\circ})

JEE Advanced 2021

LEVELJEE Advanced

Comprehension Passage

At 298 K, the limiting molar conductivity of a weak monobasic acid is

4 \times 1 0^{2} S cm^{2} mol^{- 1}

. At 298 K, for an aqueous solution of the acid the degree of dissociation of

α

and the molar conductivity is

y \times 1 0^{2} S cm^{2} mol^{- 1}

. At 298 K, upon 20 times dilution with water, the molar conductivity of the solution becomes

3 y \times 1 0^{2} S cm^{2} mol^{- 1}

Question 1:

The value of $α$ is ______.

Question 2:

The value of $y$ is ______.

JEE Advanced 2015

LEVELJEE Advanced

The molar conductivity of a solution of a weak acid HX (0.01 M) is 10 times smaller than the molar conductivity of a solution of a weak acid HY (0.1 M). If $λ_{X^{-}}^{0} \approx λ_{Y^{-}}^{0}$ , the difference in their $p K_{a}$ values, $p K_{a} (H X) - p K_{a} (H Y)$ , is (consider degree of ionization of both acids to be <<1).

JEE Advanced 2017

LEVELJEE Advanced

The conductance of a $0.0015 M$ aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized Pt electrodes. The distance between the electrodes is $120 cm$ with an area of cross section of $1 cm^{2}$ . The conductance of this solution was found to be $5 \times 1 0^{- 7} S$ . The pH of the solution is $4$ . The value of limiting molar conductivity ( $Λ_{m}^{0}$ ) of this weak monobasic acid in aqueous solution is $Z \times 1 0^{2} S cm^{2} mol^{- 1}$ . The value of $Z$ is.

JEE Advanced 2022

LEVELJEE Advanced

Consider the strong electrolytes $Z_{m} X_{n}$ , $U_{m} Y_{p}$ and $V_{m} X_{n}$ . Limiting molar conductivity ( $Λ^{0}$ ) of $U_{m} Y_{p}$ and $V_{m} X_{n}$ are 250 and 440 S cm $^{2}$ mol $^{- 1}$ , respectively. The value of (m + n + p) is _______. Given: $Ion λ^{0} (S cm^{2} mol^{- 1}) Z^{n +} 50.0 U^{p +} 25.0 V^{n +} 100.0 X^{m -} 80.0 Y^{m -} 100.0$ $λ^{0}$ is the limiting molar conductivity of ions The plot of molar conductivity ( $Λ$ ) of $Z_{m} X_{n}$ vs $c^{1/2}$ is given below.

JEE Main 2021

LEVELJEE Advanced

The conductivity of a weak acid HA of concentration $0.001 mol L^{- 1}$ is $2.0 \times 1 0^{- 5} S cm^{- 1}$ . If $Λ_{m}^{\circ} (HA) = 190 S cm^{2} mol^{- 1}$ , the ionisation constant ( $K_{a}$ ) of HA is equal to ............ $\times 1 0^{- 6}$ . (Round off to the nearest integer)

LEVELJEE Main

Conductivity (Seimen's S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel, then constant of proportionality is expressed in

(A)

S m m o l^{- 1}

(B)

S^{2} m^{2} m o l^{- 2}

(C)

S m^{2} m o l^{- 1}

(D)

S^{2} m^{2} m o l

JEE Main 2020

LEVELJEE Advanced

Potassium chlorate is prepared by the electrolysis of $KCl$ in basic solution $6 OH^{-} + Cl^{-} \to ClO_{3}^{-} + 3 H_{2} O + 6 e^{-}$ . If only $60%$ of the current is utilised in the reaction, the time (rounded to the nearest hour) required to produce $10 g$ of $KClO_{3}$ using a current of $2 A$ is ........ . (Given : $F = 96, 500 C mol^{- 1}$ ; molar mass of $KClO_{3} = 122 g mol^{- 1}$ )

JEE Main 2019

LEVELJEE Main

A solution of $Ni(NO_{3})_{2}$ is electrolysed between platinum electrodes using $0.1$ Faraday electricity. How many mole of Ni will be deposited at the cathode?

(A)

0.20

(B)

0.10

(C)

0.15

(D)

0.05

JEE Main 2021

LEVELJEE Main

The resistance of a conductivity cell with cell constant $1.14 cm^{- 1}$ , containing $0.001 M KCl$ at $298 K$ is $1500 Ω$ . The molar conductivity of $0.001 M KCl$ solution at $298 K$ in $S cm^{2} mol^{- 1}$ is .......... . (Integer answer)

JEE Main 2021

LEVELJEE Main

Potassium chlorate is prepared by electrolysis of KCl in basic solution as shown by following equation $6 OH^{-} + Cl^{-} ⟶ ClO_{3}^{-} + 3 H_{2} O + 6 e^{-}$ A current of $x A$ has to be passed for $10 h$ to produce $10.0 g$ of potassium chlorate. The value of $x$ is …… . (Nearest integer) (Molar mass of $KClO_{3} = 122.6 g mol^{- 1}$ , $F = 96500 C$ )

JEE Main 2021

LEVELJEE Main

Consider the following reaction, $M n O_{4}^{-} + 8 H^{+} + 5 e^{-} ⟶ M n^{2 +} + 4 H_{2} O, E^{\circ} = 1.51 V$ . The quantity of electricity required in Faraday to reduce five moles of $M n O_{4}^{-}$ is ………… .

JEE Main 2014

LEVELJEE Advanced

Resistance of $0.2 M$ solution of an electrolyte is $50Ω$ . The specific conductance of the solution is $1.4 S m^{- 1}$ . The resistance of $0.5 M$ solution of the same electrolyte is $280Ω$ . The molar conductivity of $0.5 M$ solution of the electrolyte in $S m^{2} mol^{- 1}$ is

(A)

5 \times 1 0^{- 4}

(B)

5 \times 1 0^{- 3}

(C)

5 \times 1 0^{3}

(D)

5 \times 1 0^{2}

JEE Main 2020

LEVELJEE Main

250 mL of a waste solution obtained from the workshop of a goldsmith contains 0.1 M $AgNO_{3}$ and 0.1 M AuCl. The solution was electrolysed at 2 V by passing a current of 1 A for 15 minutes. The metal /metals electrodeposited will be ( $E_{Ag^{+} / Ag}^{\circ} = 0.80 V$ , $E_{Au^{+} / Au}^{\circ} = 1.69 V$ )

(A)

only silver

(B)

silver and gold in equal mass proportion

(C)

only gold

(D)

silver and gold in proportion to their atomic weights

LEVELJEE Main

Calculate $Λ_{HOAc}^{\infty}$ using appropriate molar conductances of the electrolytes listed below at infinite dilution in $H_{2} O$ at $2 5^{\circ} C$ . $Electrolyte Λ_{m}^{\infty} (S cm^{2} mol^{- 1}) KCl 149.9 KNO_{3} 145.0 HCl 426.2 NaOAc 91.0 NaCl 126.5$

The metal that cannot be obtained by the electrolysis of an aqueous solution of its salts is

Two Faraday of electricity is passed through a solution of $CuSO_{4}$ . The mass of copper deposited at the cathode is (at. mass of Cu = $63.5 u$ )

(A)

0 g

(B)

63.5 g

(C)

2 g

(D)

127 g

JEE Main 2020

LEVELJEE Main

The variation of molar conductivity with concentration of an electrolyte (X) in aqueous solution is shown in the given figure. The electrolyte X is

KNO_{3}

(D)

CH_{3} COOH

JEE Main 2020

LEVELJEE Main

Let $C_{NaCl}$ and $C_{BaSO_{4}}$ be the conductances (in S) measured for saturated aqueous solutions of $NaCl$ and $BaSO_{4}$ , respectively, at a temperature $T$ . Which of the following is false?

(A)

Ionic mobilities of ions from both salts increase with

T

(B)

C_{BaSO_{4}} (T_{2}) > C_{BaSO_{4}} (T_{1})

for

T_{2} > T_{1}

(C)

C_{NaCl} (T_{2}) > C_{NaCl} (T_{1})

for

T_{2} > T_{1}

(D)

C_{NaCl} ≫ C_{BaSO_{4}}

at a given

T

JEE Main 2021

LEVELJEE Main

The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are $280$ , $860$ and $426 S cm^{2} mol^{- 1}$ respectively. The molar conductivity at infinite dilution of barium sulphate is ... $S cm^{2} mol^{- 1}$ (Round off to the nearest Integer).

JEE Main 2019

LEVELJEE Main

$Λ_{m}^{\circ}$ for NaCl, HCl and NaA are $126.4$ , $425.9$ and $100.5 S cm^{2} mol^{- 1}$ , respectively. If the conductivity of $0.001 M$ HA is $5 \times 1 0^{- 5} S cm^{- 1}$ , degree of dissociation of HA is

A $5.0 m mol dm^{- 3}$ aqueous solution of KCl has a conductance of $0.55 mS$ when measured in a cell constant $1.3 cm^{- 1}$ . The molar conductivity of this solution is .......... $mS m^{2} mol^{- 1}$ . (Round off to the nearest integer)

LEVELJEE Main

Resistance of $0.2 M$ solution of an electrolyte is $50 Ω$ . The specific conductance of the solution is $1.3 S m^{- 1}$ . If resistance of the $0.4 M$ solution of the same electrolyte is $260 Ω$ , its molar conductivity is

(A)

6250 S m^{2} mol^{- 1}

(B)

6.25 \times 1 0^{- 4} S m^{2} mol^{- 1}

(C)

625 \times 1 0^{- 4} S m^{2} mol^{- 1}

(D)

62.5 S m^{2} mol^{- 1}

Comprehension Passage

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The value of α is ______.

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The value of y is ______.

Conductivity (Seimen's S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel, then constant of proportionality is expressed in

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } A solution of Ni(NO3​)2​ is electrolysed between platinum electrodes using 0.1 Faraday electricity. How many mole of Ni will be deposited at the cathode?

The metal that cannot be obtained by the electrolysis of an aqueous solution of its salts is

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } Two Faraday of electricity is passed through a solution of CuSO4​. The mass of copper deposited at the cathode is (at. mass of Cu = 63.5 u)

The variation of molar conductivity with concentration of an electrolyte (X) in aqueous solution is shown in the given figure. The electrolyte X is

The value of $α$ is ______.

The value of $y$ is ______.

A solution of $Ni(NO_{3})_{2}$ is electrolysed between platinum electrodes using $0.1$ Faraday electricity. How many mole of Ni will be deposited at the cathode?

Two Faraday of electricity is passed through a solution of $CuSO_{4}$ . The mass of copper deposited at the cathode is (at. mass of Cu = $63.5 u$ )