The production of H₂ gas by the electrolysis of water typically requires about 400 kJ of energy per mole. The work that needs to be performed is -1.2 x [tex]10^{2}[/tex] kJ.
Work is energy that a system transfers to its environment through a mechanism that allows the system to naturally exert macroscopic forces on its surroundings. Through appropriate passive links, the work can, for instance, lift a weight in the environment.
The relation between work and cell potential is:
W = -nFE cell here,
W is the minimum work,
n is the number of moles
and Ecell is the cell potential.
expression for the efficiency of cell operation.
Efficiency= [W/Wmax]x100Here,
Wmax is the maximum work.
The minimum work needed to form H₂ gas. W=-nFE cell
W = 1x 96500 x 1.24e
W= -2.4×10^5 J ×kJ/[tex]10^{-3}[/tex]J =
W= -1.2 x [tex]10^{2}[/tex] kJ
Hence, the work that needs to be performed is -1.2 x [tex]10^{2}[/tex] kJ
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