Solve a problem of your own!
Download the Studdy App!

Math

Math Snap

PROBLEM

How many moles of N2\mathrm{N}_{2} are needed to react with 4 moles of H2\mathrm{H}_{2} in the equation 3H2+N22NH33 \mathrm{H}_{2}+\mathrm{N}_{2} \rightarrow 2 \mathrm{NH}_{3}? A) 1.0 B) 1.1 C) 4.0 D) 1.3 E) 2.5

STEP 1

Assumptions1. The given reaction is 3H+NH33 \mathrm{H}_{}+\mathrm{}_{} \rightarrow \mathrm{NH}_{3}
. We are given that4 moles of H\mathrm{H}_{} are present3. We assume that the reaction goes to completion, meaning all of the H\mathrm{H}_{} reacts4. We are asked to find the number of moles of \mathrm{}_{} required

STEP 2

The stoichiometry of the reaction tells us the ratio of moles of reactants and products. From the balanced chemical equation, we can see that moles of H2\mathrm{H}_{2} react with1 mole of 2\mathrm{}_{2}.

STEP 3

We can set up a proportion to find the number of moles of 2\mathrm{}_{2} required3moles ofH21mole of2=moles ofH2xmoles of2\frac{3 \, \text{moles of} \, \mathrm{H}_{2}}{1 \, \text{mole of} \, \mathrm{}_{2}} = \frac{ \, \text{moles of} \, \mathrm{H}_{2}}{x \, \text{moles of} \, \mathrm{}_{2}}

STEP 4

We can now solve for xx, the number of moles of 2\mathrm{}_{2} required. Cross-multiplying gives3x=43x =4

SOLUTION

Finally, we solve for xx by dividing both sides of the equation by3x=43x = \frac{4}{3}So,1.33 moles of 2\mathrm{}_{2} are required to react with4 moles of H2\mathrm{H}_{2}.Looking at the given options, the closest one is1.3, so the answer is D)1.3.

Was this helpful?
banner

Start understanding anything

Get started now for free.

OverviewParentsContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord