The standard reduction potential of the reaction at 25°C
2H₂O + 2e^– H₂(g) + 2OH^– is – 0.8277 V
Calculate equilibrium constant for the reaction
$2 H_{2} O ⇋ H_{3} O^{+} + {OH}^{-}$ at $25 ° C .$

Solution

Consider the given reaction as the net cell reaction
two half reaction :

Oxidation:
H₂O +1/2H₂ ----> H₃O⁺ +e^- E_cell⁰ =0

reduction:
H₂O +e^- -----> 1/2H₂(g) + OH^- E_cell⁰ = -0.8277V

It is evident from the cell reaction that it involves the transfer of one electron so that n= 1
$\log K_{c} = \frac{n E_{c e l l}^{0}}{0.059} K_{c} = a n t i \log \frac{1}{0.059} (- 0.8277) = - - 14.028 = 15.972 K_{c} = A n t i \log (15.972) = 9.376 \times 10^{- 15}$

$9.88 \times 10^{- 15}$

Some More Questions From Electrochemistry Chapter

The molar conductivity of 0.025 mol L^–1methanoic acid is 46.1 S cm² mol^–1. Calculate its degree of dissociation and dissociation constant. Give λ°(H⁺) = 349.6 S cm²mol^–1 and λ° (HCOO^– ) = 54.6 s cm² mol^–1.

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Electrochemistry

The standard reduction potential of the reaction at 25°C
2H₂O + 2e^– H₂(g) + 2OH^– is – 0.8277 V
Calculate equilibrium constant for the reaction
$2 H_{2} O ⇋ H_{3} O^{+} + {OH}^{-}$ at $25 ° C .$

Some More Questions From Electrochemistry Chapter

The molar conductivity of 0.025 mol L^–1methanoic acid is 46.1 S cm² mol^–1. Calculate its degree of dissociation and dissociation constant. Give λ°(H⁺) = 349.6 S cm²mol^–1 and λ° (HCOO^– ) = 54.6 s cm² mol^–1.

If the current of 0.5 ampere flows through a metallic wire for 2 hours, then how many electrons flow through the wire?

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Electrochemistry

The standard reduction potential of the reaction at 25°C2H2O + 2e– H2(g) + 2OH– is – 0.8277 VCalculate equilibrium constant for the reaction2H2O⇋ H3O++OH- at 25°C.

Some More Questions From Electrochemistry Chapter

The molar conductivity of 0.025 mol L–1 methanoic acid is 46.1 S cm2 mol–1. Calculate its degree of dissociation and dissociation constant. Give λ°(H+) = 349.6 S cm2 mol–1 and λ° (HCOO– ) = 54.6 s cm2 mol–1.

If the current of 0.5 ampere flows through a metallic wire for 2 hours, then how many electrons flow through the wire?

Suggest a list of metals that are extracted electrolytically.

Consider the reaction: Cr2O72– + 14H+ + 6e- → 2Cr3+ + 8H2OWhat is the quantity of electricity in coulombs needed to reduce 1 mol of Cr2O72-?

Write the chemistry of recharging the lead storage battery, highlighting all the materials that are involved during recharging.

Suggest two materials other than hydrogen that can be used as fuels in fuel cells.

Name the electrolyte used in fuel cell?

Can we use copper vessel to store AgNO3 solution ?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The standard reduction potential of the reaction at 25°C
2H₂O + 2e^– H₂(g) + 2OH^– is – 0.8277 V
Calculate equilibrium constant for the reaction
$2 H_{2} O ⇋ H_{3} O^{+} + {OH}^{-}$ at $25 ° C .$

The molar conductivity of 0.025 mol L^–1methanoic acid is 46.1 S cm² mol^–1. Calculate its degree of dissociation and dissociation constant. Give λ°(H⁺) = 349.6 S cm²mol^–1 and λ° (HCOO^– ) = 54.6 s cm² mol^–1.

Consider the reaction: Cr₂O₇^2– + 14H⁺ + 6e- → 2Cr³⁺ + 8H₂O
What is the quantity of electricity in coulombs needed to reduce 1 mol of Cr₂O₇^2-?

Can we use copper vessel to store AgNO₃solution ?