Question:

For the electrode $H_{(a q)}^{+} \mid H_{2_{(g)}}$, if $pH$ is decreased by one unit at $25^{\circ} C$, then the cell potential

Updated On: Nov 12, 2022
  • decreases by 59.1 mV
  • increases by 59.1 mV
  • remains unchanged
  • becomes zero
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The Correct Option is B

Solution and Explanation

From Nernst equation, $E=\frac{-R T \log _{10} p H}{F}$
This equation tells us that every decrease in $pH$ of one unit, the potential of hydrogen electrode increases by
$\frac{R T \log _{10}}{F}(\approx 59.1\, mV$ at $298\, K )$.
The Nernst equation has thus given us the $pH$ dependence of any reaction involving hydrogen ions.
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Concepts Used:

Electrochemical Cells

An electrochemical cell is a device that is used to create electrical energy through the chemical reactions which are involved in it. The electrical energy supplied to electrochemical cells is used to smooth the chemical reactions. In the electrochemical cell, the involved devices have the ability to convert the chemical energy to electrical energy or vice-versa.

Classification of Electrochemical Cell:

Cathode

  • Denoted by a positive sign since electrons are consumed here
  • A reduction reaction occurs in the cathode of an electrochemical cell
  • Electrons move into the cathode

Anode

  • Denoted by a negative sign since electrons are liberated here
  • An oxidation reaction occurs here
  • Electrons move out of the anode

Types of Electrochemical Cells:

Galvanic cells (also known as Voltaic cells)

  • Chemical energy is transformed into electrical energy.
  • The redox reactions are spontaneous in nature.
  • The anode is negatively charged and the cathode is positively charged.
  • The electrons originate from the species that undergo oxidation.

Electrolytic cells

  • Electrical energy is transformed into chemical energy.
  • The redox reactions are non-spontaneous.
  • These cells are positively charged anode and negatively charged cathode.
  • Electrons originate from an external source.