Answer: 55.233 moles of oxygen will react with 500 g of hexane.
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
Given mass of hexane = 500g
Molar mass of hexane = 86 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of hexane}=\frac{500g}{86g/mol}\\\\\text{Moles of hexane}=5.814mol[/tex]
The chemical equation for the reaction of burning of hexane in air follows:
[tex]2C_6H_{14}+19O_2\rightarrow 12CO_2+14H_2O[/tex]
By stoichiometry of the reaction:
2 moles of hexane reacts with 19 moles of oxygen
So, 5.814 moles of hexane will react with = [tex]\frac{19}{2}\times 5.814=55.233moles[/tex] of oxygen
Hence, 55.233 moles of oxygen will react with 500 g of hexane.