Answer:
When 14.51 grams of methane are burned, the number of moles of oxygen gas used can be determined by using the balanced chemical equation:
CH4 + 2 O2 -> CO2 + 2 H2O
Since the coefficients in the equation represent the mole ratios of the reactants and products, we can use the number of moles of methane as the basis for calculating the number of moles of oxygen.
First, we'll calculate the number of moles of methane:
moles of CH4 = 14.51 g / 16.04 g/mol = 0.905 mol
Next, we'll use the mole ratio of CH4 to O2 to determine the number of moles of O2 required for the reaction:
moles of O2 = 2 * moles of CH4 = 2 * 0.905 mol = 1.81 mol
So, the amount of oxygen used is 1.81 moles.
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