If 35.6 L of ammonia gas and 40.5 L of oxygen gas (both at 25.0̊C and 1.100 atm) react according to this equation, what volume (in L) of NO (at 25.0̊C and 1.100 atm) will be produced?
Balanced equation: 4NH3 + 5O2 ===> 4NO + 6H2O
At STP, one mole of any gas has a volume of 22.4 L.
35.6 L NH3 x (1 mole NH3 / 22.4 L
NH3) = 1.59 moles NH3
40.5 L O2 x (1 mole O2 / 22.4 L
O2) = 1.81 moles O2
Now the question is: Which one of the reactants (NH3 or
O2) will be used up first?
According to the balanced equation above, it takes 5 moles of
O2 to react with every 4 moles of NH3.
1.59 moles NH3 x (5 moles O2 / 4 moles
NH3) = 1.99 moles O2.
But we have only 1.81 moles of O2, not enough to
react with all the NH3. So O2 will be used up
first.
How much NO will it make?
According to the balanced equation, 5 moles of O2 will
produce 4 moles of NO.
1.81 moles O2 x (4 moles NO / 5 moles O2) =
1.448 mole of NO is produced
Therefore 1.448 x 22.4 = 32.4 L of NO is produced
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