Answer:
[tex]m = 44.4\,g[/tex]
Explanation:
The stoichometric formula for the electrolysis is:
[tex]H_{2}O \rightharpoonup 2H_{2} + O_{2}[/tex]
One mole of water is dissociated into 2 moles of hydrogen and one mole of oxygen. The mass ratio of hydrogen to water is:
[tex]r = \frac{(2\,mole)\cdot(4\,\frac{g}{mole} )}{(1\,mole)\cdot (18\,\frac{g}{mole} )}[/tex]
[tex]r = 0.444[/tex]
The amount of hydrogen that can be produced at 100 % efficiency is:
[tex]m = (0.444)\cdot (100\,g)[/tex]
[tex]m = 44.4\,g[/tex]
