Question

question 10 of 30
the reaction of hydrogen with nitrogen to produce ammonia is shown below. if there are 12 moles of hydrogen, how many moles of nitrogen are needed to react completely with the hydrogen?
n₂(g) + 3h₂(g) → 2nh₃(g)
a. 6
b. 3
c. 36
d. 4

Explanation:

Step1: Identify mole - ratio

From the balanced equation $N_2(g)+3H_2(g)\to 2NH_3(g)$, the mole - ratio of $N_2$ to $H_2$ is $n_{N_2}:n_{H_2}=1:3$.

Step2: Calculate moles of $N_2$

Let the moles of $N_2$ be $x$. We know $n_{H_2} = 12$ moles. Using the mole - ratio $\frac{n_{N_2}}{n_{H_2}}=\frac{1}{3}$, we substitute $n_{H_2}=12$ into the equation: $\frac{x}{12}=\frac{1}{3}$. Solving for $x$, we get $x=\frac{12\times1}{3}=4$ moles.

Answer:

D. 4