The combustion reaction are as follows.
![C_(x)H_(y) + O_(2) \rightarrow CO_(2) +H_(2)O](https://img.qammunity.org/2019/formulas/chemistry/college/p13k5dp1ybxub45lxijdh8mysac2rtmj52.png)
From the given:
Amount of carbon dioxide = 33.01 g
Amount of water = 9.02 g
Let's calculate the number of moles of each compound in the reaction
![Moles of CO_(2) = (Given mass of CO_(2))/(Molar mass of CO_(2))=(33.01 g)/(44.01 g/mol)= 0.75 mole](https://img.qammunity.org/2019/formulas/chemistry/college/1i82dgb097kf7d4f6563y5ci297wyoh1b9.png)
![Molesof H_(2)O = (Given massof H_(2)O)/( Molar mass of H_(2)O) = 2 * (9.02 g)/(18 g/ mol) = 1 mole](https://img.qammunity.org/2019/formulas/chemistry/college/ivywvknzennpm5uosphwvpg3w6nd4l016z.png)
Each value is divided by small value
![Carbon= (0.75)/(0.75) = 1](https://img.qammunity.org/2019/formulas/chemistry/college/kaybms76c7e1glgq7d1f97z078rercl2ih.png)
![Hydrogen= (1.0)/(0.75) = 1.3 \approx 2](https://img.qammunity.org/2019/formulas/chemistry/college/y2jt7evxqeatif6sgn1yc5oaww22ncaefm.png)
Therefore, Empirical formula of given hydrocarbon is
![CH_(2)](https://img.qammunity.org/2019/formulas/chemistry/college/p6g5fjlf4ipnt01obknpy9jiu5ewm2ycfl.png)