What is the mass in grams of oxygen gas, O2 is needed to complete the combustion of 6 L of methane, CH4? Assume that the pressure and temperature remain constant. (be sure to write the balanced chemical equation)
CH4 + 2O2 → CO2 + 2H2O
One mole of any gas at STP occupy volume of 22.4 L.
Proportion:
22.4 L – 1 mol
6 L – x
"x = \\frac{6 \\times 1}{22.4} = 0.2678 \\;mol"
According to the reaction:
n(O2) = 2n(CH4) "= 2 \\times 0.2678 = 0.5356 \\;mol"
M(O2) = 32 g/mol
m(O2) "= 0.5356 \\times 32 = 17.14 \\;g"
Answer: 17.14 g
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