Answer:
C2H2
Step-by-step explanation:
To find the empirical formula, we need to first determine the moles of each element in the compound.
Moles of CO2 = 15.1 g / 44.01 g/mol = 0.343 mol
Moles of H2O = 5.15 g / 18.015 g/mol = 0.286 mol
Next, we need to determine the mole ratio of carbon and hydrogen in the compound. We can do this by assuming a total mass of 100 g, which gives us:
Assume 100 g of compound
Mass of carbon = 100 g - 5.15 g - 30.03 g = 64.82 g
Moles of carbon = 64.82 g / 12.01 g/mol = 5.4 mol
Moles of hydrogen = 5.15 g / 1.01 g/mol = 5.1 mol
Next, we need to simplify the mole ratio by dividing by the smallest value (5.1 mol), which gives:
Carbon: 5.4 mol / 5.1 mol = 1.06
Hydrogen: 5.1 mol / 5.1 mol = 1.00
The empirical formula is therefore CH1.06, which we can round to CH.
Since we cannot have a fraction in a chemical formula, we need to multiply the subscripts by a factor that will give us whole numbers. In this case, we can multiply both subscripts by 2 to get a whole number for the carbon subscript:
Empirical formula: C2H2
ALLEN