The complete empirical formula of the organic compound is C₅H₂.
What is empirical formula?
Empirical formula is the simplest formula of an organic compound. The balanced chemical equation of the given organic compound can be determined using the general formula for balancing oxidation reaction of organic compounds as shown below.
[tex]C_xH_y + (x+ \frac{y}{4} )O_2 = xCO_2 \ + \ \frac{y}{2} H_2O[/tex]
Number of moles of the carbon dioxide
Molecular mass of CO2 = 44 g/mol
mole = reacting mass /molecular mass
mole = 4.4/44 = 0.1
Number of moles of water
mole = 0.72/18 = 0.04
From the empirical formula, we have [tex][?]_5H_{[?]} = C_5H_{[?]}[/tex]
[tex]0.1 \times n = 5\\\\ n = \frac{5}{0.1} = 50[/tex]
From the result above, if we multiply 0.1 by 50 we will have 5 which is already given to us as C₅.
[tex]x = 0.1 \times 50\\\\x = 5[/tex]
Then multiply 0.04 for y by the same factor.
[tex]y = 0.04 \times 50\\\\y = 2[/tex]
Thus, the complete empirical formula of the organic compound is C₅H₂.
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