propane = C3H8.
M(C3H8) = 3*Ar(C) + 8*Ar(H) = 3*12 + 8*1 = 44 (g/mol).
Solution:
The equation of a chemical reaction:
C3H8 + 5O2 = 3CO2 + 4H2O.
According to the chemical equation: n(C3H8) = n(O2)/5.
n(O2) = 5 * n(C3H8).
n(C3H8) = m(C3H8) / M(C3H8) = (20.0 g) / (44 g/mol) = 0.4545 moles.
Then,
n(O2) = 5 * n(C3H8) = 5 * 0.4545 = 2.2725 moles.
m(O2) = n(O2) * M(O2) = (2.2725 moles) * (32 g/mol) = 72.72 g.
m(O2) = 72.72 g.
Answer: 72.72 grams of oxygen (O2) are needed to combust 20.0 grams of propane.
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