5. if 300 g of fe₂o₃ and 84 g of co react as described by the equation fe₂o₃(s) + 3co(g) → 2fe(l) + 3co₂(g)…

5. if 300 g of fe₂o₃ and 84 g of co react as described by the equation fe₂o₃(s) + 3co(g) → 2fe(l) + 3co₂(g), what will be the limiting reactant?
Answer
Answer:
CO
Explanation:
Step1: Calculate molar masses
$M_{Fe_2O_3}=(2\times55.85 + 3\times16)=159.7\ g/mol$, $M_{CO}=12 + 16 = 28\ g/mol$
Step2: Calculate moles of reactants
$n_{Fe_2O_3}=\frac{300\ g}{159.7\ g/mol}\approx1.88\ mol$, $n_{CO}=\frac{84\ g}{28\ g/mol}=3\ mol$
Step3: Determine mole - ratio from the equation
The mole - ratio of $Fe_2O_3$ to $CO$ in the reaction is $1:3$.
Step4: Find the required moles of CO for given $Fe_2O_3$
For $1.88\ mol$ of $Fe_2O_3$, the required moles of $CO$ is $n_{CO - required}=1.88\ mol\times3 = 5.64\ mol$
Step5: Compare available and required moles of CO
We have only $3\ mol$ of $CO$ available, which is less than the required $5.64\ mol$. So, CO is the limiting reactant.