The production of H₂ gas by the electrolysis of water typically requires about 400 kJ of energy per mole.(a) Use the relationship between work and cell potential (Section 21.4) to calculate the minimum work needed to form 1.0 mol of H₂ gas at a cell potential of 1.24 V.

Respuesta :

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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