The number of moles of [tex]O_2[/tex] required to react with 2 moles of [tex]H_2[/tex] according to the reaction will be 4 moles.
Stoichiometric problem
From the balanced equation of the reaction:
[tex]2H_2 (g) + O_2 (g) -- > 2H_2O (g)[/tex]
The mole ratio of hydrogen to oxygen is 2:1. This means that for every 1 mole of hydrogen that reacts to form 1 mole of water, 0.5 moles of oxygen is required. Also, for every 1 mole of oxygen, 2 moles of hydrogen are required.
Once the mole of hydrogen increases, the mole of oxygen also has to increase proportionately. Otherwise, oxygen becomes limited in availability, and hydrogen will be in excess.
From the equation of the reaction, 1 mole of oxygen requires 2 moles of hydrogen. Thus, with 2 moles of oxygen, 4 moles of hydrogen will be needed for a complete reaction.
In summary, the number of moles of [tex]O_2[/tex] that are required to react with 2 moles of [tex]H_2[/tex] is 4 moles.
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