The production of ammonia (NH3) from nitrogen and hydrogen, shown below, was an
ID: 786358 • Letter: T
Question
The production of ammonia (NH3) from nitrogen and hydrogen, shown below, was an important breakthrough resulting in Nobel prizes in chemistry to Fritz Haber (1918) and Carl Bosch (1931). This compound is widely used in manufacturing fertilizers.
3H2(g) + N2(g) ? 2NH3(g)
Calculate the mass of nitrogen (in kg) needed to manufacture 1000 kg of ammonia. Assume four significant figures. Please explain.....
Explanation / Answer
molar mass of N2 = 28 g/mol;
molar mass of NH3 = 17 g/mol
mole of NH3 in 1000 kg ( or 1000 000 g) = 1000 000 / 17 = 58823.5 mol
3 H2 + N2 ---> 2 NH3
1 mole of N2 give 2 mole of NH3
mole of N2 = 1 /2 * mol of NH3 = 1 / 2 * 58823.5 mol = 29411.75 mol
mass of N2 required = 29411.75 mol * 28 g / mol = 823529 g = 823.529 kg
on rouding off to four significant figures
mass of N2 required = 823.5 kg
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