Answer:
The empirical formula of cyclohexene is C₃H₅
Explanation:
Given parameters:
Mass of CO₂ produced = 4.822g
Mass of H₂O produced = 1.650g
Unknown:
Simplest formula of cyclohexene or empirical formula of cyclohexene = ?
Solution:
We first write the balanced combustion equation of the cyclohexene in oxygen gas:
Cyclohexene = C₆H₁₀
2C₆H₁₀ + 17O₂ →12CO₂ + 10H₂O
From the gases produced, we can obtain the masses of the constituent atoms that makes up cyclohexene. Cyclohexene which is a hydrocarbon is made up of hydrogen and carbon atoms:
Mass of C in CO₂ = [tex]\frac{molar mass of C}{molar mass of CO_{2} }[/tex] x mass of CO₂
Mass of C = [tex]\frac{12}{44}[/tex] x 4.822 = 1.3151g
Mass of H in H₂O = [tex]\frac{molar mass of H}{molar mass of H_{2}O }[/tex] x mass of H₂O
Mass of H = [tex]\frac{2}{18}[/tex] x 1.650 = 0.1833g
Using these masses, we can find the empirical formula of the hydrocarbon:
C H
Masses(g) 1.3151 0.1833
Number
of moles [tex]\frac{1.3151}{12}[/tex] [tex]\frac{0.1833}{1}[/tex]
0.1096 0.1833
Simplest
form [tex]\frac{0.1096}{0.1096}[/tex] [tex]\frac{0.1833}{0.1096}[/tex]
1 1.672
Empirical formula is usually expressed to the simplest whole number ratios. Therefore, to obtain the simplest whole number ratio here, simply multiply by a factor of 3:
1 x 3 1.672 x 3
3 5
The empirical formula of cyclohexene is C₃H₅
