Answer:
0.198g
Explanation:
From the reaction equation, we can see that 6 moles of O2 yielded 3 moles of CO2. Let's keep this.
Now we need to know the number of moles of oxygen gas reacted.
As we know, 1000 milligrams = 1 gram. Hence, 288mg will be equal to 288/1000g = 0.288g.
To calculate the number of moles of oxygen gas reacted, we simply divide the mass of oxygen reacted by the molar mass of the oxygen reacted.
This is obtained from the relation:
Mass of oxygen reacted = number of moles of oxygen reacted × molar mass of oxygen molecule.
Hence, the number of moles of oxygen reacted = mass of oxygen reacted ÷ molar mass of oxygen molecule
To get the molar mass of the oxygen molecule, we simply multiply the relative atomic mass of oxygen by 2. The relative atomic mass if oxygen is 16. Hence, the molar mass would be 16 ×2 = 32g/mol.
The number of moles = 0.288 ÷ 31 = 0.009moles
Now from the relation at first, 6 moles O2 yielded 3 moles CO2.
hence, 0.009moles oxygen will yield (0.009 × 3) ÷ 6 = 0.0045 moles CO2.
Now to calculate the mass of CO2 yielded, we use the relation:
Mass of CO2 yielded = number of moles of CO2 yielded × molar mass of CO2.
The molar mass of CO2 = 12 + 2(16) = 12 + 32 = 44g/mol.
The mass thus yielded = 44 × 0.0045 = 0.198g
