Final answer:
The empirical formula for polystyrene is CH2.
Step-by-step explanation:
To find the empirical formula for polystyrene, we need to determine the mole ratios of carbon and hydrogen. From the combustion analysis, we find that the sample of polystyrene produced 0.00726 g of CO2 and 0.00148 g of H2O. To find the moles of carbon and hydrogen, we first convert the grams of CO2 and H2O to moles using their molar masses. Then, we divide the moles by the smallest value to get the mole ratios. In this case, the mole ratio of carbon to hydrogen is 1:2, so the empirical formula for polystyrene is CH2.