Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

you must calculate how many moles of product each reactant can form (as…

Question

you must calculate how many moles of product each reactant can form (assuming there is enough of all other reactants); the limiting reactant is the reactant that when used up produces the least amount of product (in moles); and in this method, you can use any product of your choice. 2 h₂ (g) + 1 o₂ (g) → 2 h₂o (g) 3 moles of o₂ 5 moles of h₂ if you used five moles of h₂, how many moles of h₂o (g) would form (assuming you have enough o₂)? if you used three moles of o₂, how many moles of h₂o (g) would form (assuming you have enough o₂)? what is the limiting reactant? o₂ h₂ h₂o

Explanation:

Step1: Calculate moles of \(H_2O\) from \(H_2\)

From the balanced equation \(2H_2(g)+O_2(g)\to2H_2O(g)\), the mole ratio of \(H_2\) to \(H_2O\) is \(2:2 = 1:1\).
If \(n(H_2)=5\space mol\), then \(n(H_2O)=\frac{2\space mol\space H_2O}{2\space mol\space H_2}\times5\space mol\space H_2 = 5\space mol\space H_2O\)

Step2: Calculate moles of \(H_2O\) from \(O_2\)

The mole ratio of \(O_2\) to \(H_2O\) is \(1:2\).
If \(n(O_2) = 3\space mol\), then \(n(H_2O)=\frac{2\space mol\space H_2O}{1\space mol\space O_2}\times3\space mol\space O_2=6\space mol\space H_2O\)

Step3: Determine the limiting reactant

Since \(H_2\) produces fewer moles of \(H_2O\) (5 mol vs 6 mol from \(O_2\)), \(H_2\) is the limiting reactant.

Answer:

When using 5 moles of \(H_2\) (assuming enough \(O_2\)): \(5\space mol\) of \(H_2O\) forms.
When using 3 moles of \(O_2\) (assuming enough \(H_2\)): \(6\space mol\) of \(H_2O\) forms.
Limiting reactant: \(H_2\)