Question:

The efficiency of fuel cell is given by the expression, $\eta$ is

Updated On: Jun 18, 2022
  • $\eta=-\frac{ nF E _{\text {cell }}}{\Delta H } \times 100$
  • $\eta=-\frac{n F E_{\text {cell }}}{\Delta S} \times 100$
  • $\eta=-\frac{ nFE _{\text {cell }}}{\Delta A } \times 100$
  • None of the above
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The Correct Option is A

Solution and Explanation

Efficiency of fuel cell is $\eta=-\frac{ nFE _{\text {cell }}}{\Delta H } \times 100$.
The thermodynamic efficiency of the fuel cell is the ratio of the electrical free energy to the enthalpy change of the reaction.
$\eta=\frac{\Delta G }{\Delta H } \times 100$
Also, $\Delta G =- nFE _{\text {cell }}$
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Concepts Used:

Cells

  • A device that converts chemical energy into electrical energy is called an electric cell. To an electric circuit, the battery provides the constant electromotive force.
  • Each cell comprises 2 half cells which are connected in series by a conductive electrolyte containing anions and cations:
    • One-half cell is made up of electrolyte and a negative electrode called an anion.
    • The other half cell is made up of electrolytes and a positive electrode called a cathode.
  • Redox reactions take place simultaneously.
  • While charging, cations are reduced at the cathode, and anions are oxidized at the anode.
  • Electrodes do not join each other as they are electrically connected by the electrolyte.