Question

Given the equation below, how many moles of nitrogen gas (N2) areneeded to react with 7.5 moles of hydrogen gas (H2)?N2+ 3H2 —>2 NH3

Answer 1

2.5 moles of N₂ are needed to react with 7.5 moles of hydrogen gas

Step-by-step explanation

Given:

Equation: N₂ + 3H₂ → 2NH₃

Moles of H₂ = 7.5 moles

What to find:

The moles of nitrogen gas (N₂) needed to react with 7.5 moles of hydrogen gas

Step-by-step solution:

Let the mole of N₂ needed be x.

From the given balanced chemical equation:

3 moles of H₂ react with 1 mole of N₂

Therefore, 7. 5 moles of H₂ will react with x moles of N₂

Cross multiply

`\begin{gathered} x\text{ moles }N_2*3\text{ moles H}_2=7.5\text{ moles H}_2*1\text{ mole N}_2 \\ \text{Divide both sides by 3 moles H}_2 \\ \frac{x\text{ moles }N_2*3\text{ moles H}_2}{3\text{ moles H}_2}=\frac{7.5\text{ moles H}_2*1\text{ mole N}_(2)}{3\text{ moles H}_2} \\ x\text{ moles }N_2=2.5\text{ moles} \end{gathered}`