# Nitrogen and hydrogen gas react to form ammonia gas. At a certain temperature and pressure 1.2 L of N2 reacts with 3.6 L of H2. If all of both gases are consumed what is the final volume of NH3 produced?

Apr 17, 2017

The final volume is $2.4 \text{ L}$

#### Explanation:

Here is the balanced equation

${N}_{2} + 3 {H}_{2} = 2 N {H}_{3}$

At STP, 1 mole has a volume of 22.4 Liters. To do a dimensional analysis conversion from Liters to moles:

(N" Liters")/1(1" mole")/(22.4" Liters") = N/22.4" moles"

Please observe that Liters and moles vary directly, therefore, we can simply multiply each of the coefficients (that represent moles) by $1.2 \text{ L}$ to obtain the volumes:

$\left(1.2 \text{ L")N_2+(3.6" L")H_2= (2.4" L}\right) N {H}_{3}$

It does not really matter what number of moles that we have as long as we maintain the $1 : 3 : 2$ relationship.