6. Nitrous oxide, NO, is sometimes used in dentistry. It is produced when
ammonium nitrate(NH,NOg) decomposes in the reaction below.
(NHANO3) - N20 + 2H20
a. How many moles of NH,NO; are required to produce 5.6 moles of Ng0?
b. How many grams of NO is that?
Solution:
Balanced chemical equation:
NH4NO3 → N2O + 2H2O
According to stoichiometry:
1 mol of NH4NO3 is required to produce 1 mol of N2O
X mol of NH4NO3 is required to produce 5.6 mol of N2O
Thus,
Moles of NH4NO3 = X = (5.6 mol N2O) × (1 mol NH4NO3 / 1 mol N2O) = 5.6 mol NH4NO3
Therefore, 5.6 moles of NH4NO3 are required to produce 5.6 moles of N2O
The molar mass of N2O is 44 g/mol
Therefore,
Mass of N2O = (5.6 mol N2O) × (44 g N2O / 1 mol N2O) = 246.4 g
That is 246.4 grams of N2O
Answer:
5.6 moles of NH4NO3 are required to produce 5.6 moles of N2O;
that is 246.4 grams of N2O
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