Solution:
Nitric oxide (NO) reacts with oxygen gas (O2) to form nitrogen dioxide (NO2):
2NO(g) + O2(g) → 2NO2(g)
According to the equation: n(NO) = n(NO2)
Moles of NO2 = n(NO2) = Mass of NO2 / Molar mass of NO2
The molar mass of NO2 is 46 g/mol.
Hence,
n(NO2) = 20 g / 46 g mol-1 = 0.4348 mol
n(NO) = n(NO2) = 0.4348 mol
Moles of NO = n(NO) = Mass of NO / Molar mass of NO
The molar mass of NO is 30 g/mol.
Hence,
Mass of NO = Moles of NO × Molar mass of NO
Mass of NO = 0.4348 mol × 30 g/mol = 13.044 g
Mass of NO is 13.044 grams
Answer: 13.044 grams of NO are needed to produce 20g of NO2.
(20 g NO2) × (1 mol NO2 / 46 g NO2) × (30 g NO / 1 mol NO) = 13.043 g NO
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