Answer: [tex]KClO_3[/tex] is the limiting reactant in the given reaction.
Explanation:
Limiting reagent is defined as the chemical specie which gets totally consumed in the reaction and the formation of product is dependent on this reagent.
We are given:
Moles of [tex]P_4[/tex] = 30 moles
Moles of [tex]KClO_3[/tex] = 86 moles
The given chemical equation follows:
[tex]10KCIO_3+3P_4\rightarrow 3P_4O_{10}+10KCI[/tex]
By Stoichiometry of the reaction:
If 10 moles of [tex]KClO_3[/tex] reacts with 3 moles of [tex]P_4[/tex]
Then, 86 moles of [tex]KClO_3[/tex] will react with = [tex]\frac{3}{10}\times 86=25.8moles[/tex] of [tex]P_4[/tex]
As, given amount of [tex]P_4[/tex] is more than the required amount. So, it is considered as an excess reagent.
Therefore, [tex]KClO_3[/tex] is considered as a limiting reactant because it limits the formation of product.