Answer: The mass of oxygen reacted is [tex]1.60\times 10^{3}g[/tex]
Explanation:
We are given:
Moles of propane = 9.98 mol
For the given chemical equation:
[tex]C_3H_8(g)+5O2(g)\rightarrow 3CO_2(g)+4H_2O(g)[/tex]
By Stoichiometry of the reaction:
1 mole of propane reacts with 5 moles of oxygen.
So, 9.98 moles of propane will react with = [tex]\frac{5}{1}\times 9.98=49.9mol[/tex] of oxygen.
To calculate the mass of carbon dioxide, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
Moles of oxygen = 49.9 moles
Molar mass of oxygen gas = 32 g/mol
Putting values in above equation:
[tex]49.9mol=\frac{\text{Mass of oxygen}}{32g/mol}\\\\\text{Mass of oxygen}=(49.9mol\times 32g/mol)=1596.8g=1.60\times 10^{3}g[/tex]
Hence, the mass of oxygen reacted is [tex]1.60\times 10^{3}g[/tex]