QUESTION #135657
5.85 Using the balanced equation, 2NO + O2 ® 2NO2, determine the limiting reactant under each of the following conditions.
A. 1.0 mol NO and 1.0 mol O2
B. 2.0 mol NO and 0.50 mol O2
C. 10.0 g NO and 10.0 g O2
D. 28.0 g NO and 16.0 g O2
5.86 For each set of reaction conditions in Problem 5.85, calculate how many moles of the product NO2 form. Then, calculate the number of grams of product that forms.
ANSWER
A. 1.0 mol NO and 1.0 mol O2
Moles of NO present =1.0 mol
Moles of O2 present =1.0 mol
From equation the mole ratio of NO : O2 is 2:1
Moles of NO that would be required to react with all O2 given is (1×2)÷1=2.0 mols the actual moles of NO present is 1.0 mole which makes it the limiting reactant.
Moles of O2 that would be required to react with all of the given NO is 1×1/2=0.5 mols the actual moles of O2 present is 1mole.
The moles of of the product formed will be
NO : NO2
Mole ratio 2 : 2
Moles of NO2 = (1×2) ÷2= 1.0 mol
Grams of product = moles × molar msass (46)
= 1×46=46g
B. 2.0 mol NO and 0.50 mol O2
Moles of NO present =2.0 mol
Moles of O2 present =0.50 mol
Moles of NO that would be required to react with all O2 given is (2×0.5)÷1=1.0 mols the actual moles of NO present is 1.0 mole.
moles of O2 that would be required to react with all of the given NO is 2×1/2=1.0mols the actual moles of O2 present is 0.5 moles which makes it the limiting reactant.
The moles of of the product formed will be
O2 : NO2
Mole ratio 1 : 2
Moles of NO2 = (0.5×2) ÷1= 1.0 mol
Grams of product = moles × molar msass (46)
= 1×46=46g
C. 10.0 g NO and 10.0 g O2
Moles of NO =Mass/molar mass =10/30=0.33mols
Moles of O2 =Mass/molar mass =10/32=0.31mols
Moles of NO that would be required to react with all O2 given is (0.32×2)÷1=0.64 mols the actual moles of NO present is 0.33 moles which makes it the limiting reactant.
moles of O2 that would be required to react with all of the given NO is 0.33×1/2=0.165 mols the actual moles of O2 present is 0.32mole.
The moles of of the product formed will be
NO : NO2
Mole ratio 2 : 2
Moles of NO2 = (0.33×2) ÷2= 0.33 mols
Grams of product = moles × molar msass (46)
= 0.33×46=15.18g
D. 28.0 g NO and 16.0 g O2
Moles of NO =Mass/molar mass =28/30=0.93mols
Moles of O2 =Mass/molar mass =16/32=0.5mols
Moles of NO that would be required to react with all O2 given is (0.5×2)÷1=1.0 mols the actual moles of NO present is 0.93 moles which makes it the limiting reactant.
Moles of O2 that would be required to react with all of the given NO is 0.93×1/2=0.465 mols the actual moles of O2 present is 0.5 moles.
The moles of of the product formed will be
NO : NO2
Mole ratio 2 : 2
Moles of NO2 = (0.93×2) ÷2= 0.93 moles
Grams of product = moles × molar msass (46)
= 0.93×46=42.78g
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