Answer: 55.233 moles of oxygen will react with 500 g of hexane.
Step-by-step explanation:
To calculate the number of moles, we use the equation:
![\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}](https://img.qammunity.org/2022/formulas/chemistry/college/pozzewk4geslbe8mldys4w1zl6cvjwu2yk.png)
Given mass of hexane = 500g
Molar mass of hexane = 86 g/mol
Putting values in above equation, we get:
![\text{Moles of hexane}=(500g)/(86g/mol)\\\\\text{Moles of hexane}=5.814mol](https://img.qammunity.org/2022/formulas/chemistry/high-school/4qu9f606o8nnfyvtxy3zxf3wlf69t7gjkz.png)
The chemical equation for the reaction of burning of hexane in air follows:
![2C_6H_(14)+19O_2\rightarrow 12CO_2+14H_2O](https://img.qammunity.org/2022/formulas/chemistry/high-school/kr6isard6o4c8h0jarwidts28xfvatk56m.png)
By stoichiometry of the reaction:
2 moles of hexane reacts with 19 moles of oxygen
So, 5.814 moles of hexane will react with =
of oxygen
Hence, 55.233 moles of oxygen will react with 500 g of hexane.