Calculate the volume fraction of ammonia from the theoretically possible, if 44.8 liters of nitrogen

Calculate the volume fraction of ammonia from the theoretically possible, if 44.8 liters of nitrogen are used to obtain 80 liters of it.

1. Let’s compose the reaction equation:

N2 + 3H2 = 2 NH3

According to the equation:

1 mole of nitrogen, i.e. 22.4 l;
2 mol of ammonia, i.e. 44.8 l.
2. Let’s find the theoretical yield of ammonia, making the proportion:

44.8 l N2 – x l NH3

22.4 L N2 – 44.8 L NH3

Hence, x = 44.8 * 44.8 / 22.4 = 89.6 l

3. Let’s calculate the practical yield of ammonia:

89.6 l NH3 – theoretical yield – 100%

80 l NH3 – practical yield – x%

Hence, x = 80 * 100 / 89.6 = 89.3%.