In a reaction $A + B_{2} \to {A B}_{2}$ , identify the limiting reagent, if any, in the following reaction mixtures.
(i) 300 atoms of $A$ + 200 molecules of $B_{2}$
(ii) 2 mol $A$ + 3 mol $B_{2}$
(iii) 100 atoms of $A$ + 100 molecules of $B_{2}$
(iv) 5 mol $A$ + 2.5 mol $B_{2}$
(v) 2.5 mol $A$ + 5 mol $B_{2}$

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Solution

$(i) 200$ molecules of $B$ will react with $200$ atoms of $A$ and $100$ atoms of $A$ will remain unreacted. Hence, $B_{2}$ is the limiting reagent.

$(i i) 2$ moles of $A$ will react with $2$ moles of $B_{2}$ and $1$ mole of $B_{2}$ will remain unreacted. Thus, $A$ is the limiting reagent.

$(i i i) 100$ atoms of $A$ will react with $100$ molecules of $B_{2}$ . Thus, both reagents are present in stoichiometric amounts.

$(i v) 2.5$ mole of $B_{2}$ will react with $2.5$ mole of $A$ and $2.5$ mole of $A$ will remain unreacted. Hence, $B_{2}$ is the limiting reagent.
$(v) 2.5$ moles of $A$ will react with $2.5$ moles of $B_{2}$ and $2.5$ moles of $B_{2}$ will remain unreacted. Thus, $B_{2}$ is the limiting reagent.

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In a reaction A+B2→AB2, identify the limiting reagent, if any, in the following reaction mixtures.(i) 300 atoms of A + 200 molecules of B2(ii) 2 mol A + 3 mol B2 (iii) 100 atoms of A + 100 molecules of B2(iv) 5 mol A + 2.5 mol B2(v) 2.5 mol A + 5 mol B2