In: Chemistry
given the foloowing chemical equation: H2+3N2 yeilds 2NH3.......
if you react 26.5g of nitrogen gas with 13.67g of hydrogen gas, how many grams of ammonia gas are produced? which reactant is limiting? how many grams of the excess reactant remain?
1)
Molar mass of H2 = 2.016 g/mol
mass of H2 = 13.67 g
we have below equation to be used:
number of mol of H2,
n = mass of H2/molar mass of H2
=(13.67 g)/(2.016 g/mol)
= 6.781 mol
Molar mass of N2 = 28.02 g/mol
mass of N2 = 26.5 g
we have below equation to be used:
number of mol of N2,
n = mass of N2/molar mass of N2
=(26.5 g)/(28.02 g/mol)
= 0.9458 mol
we have the Balanced chemical equation as:
3 H2 + N2 ---> 2 NH3
3 mol of H2 reacts with 1 mol of N2
for 6.7808 mol of H2, 2.2603 mol of N2 is required
But we have 0.9458 mol of N2
so, N2 is limiting reagent
we will use N2 in further calculation
Molar mass of NH3 = 1*MM(N) + 3*MM(H)
= 1*14.01 + 3*1.008
= 17.034 g/mol
From balanced chemical reaction, we see that
when 1 mol of N2 reacts, 2 mol of NH3 is formed
mol of NH3 formed = (2/1)* moles of N2
= (2/1)*0.9458
= 1.892 mol
we have below equation to be used:
mass of NH3 = number of mol * molar mass
= 1.892*17.03
= 32.2 g
Answer: 32.2 g
2)
N2 is limiting reagent
3)
From balanced chemical reaction, we see that
when 1 mol of N2 reacts, 3 mol of H2 reacts
mol of H2 reacted = (3/1)* moles of N2
= (3/1)*0.9458
= 2.837 mol
mol of H2 remaining = mol initially present - mol reacted
mol of H2 remaining = 6.7808 - 2.8373
mol of H2 remaining = 3.9435 mol
Molar mass of H2 = 2.016 g/mol
we have below equation to be used:
mass of H2,
m = number of mol * molar mass
= 3.943 mol * 2.016 g/mol
= 7.95 g
Answer: 7.95 g of H2 remains