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Chemistry

A hydrocarbon contains 82.8% of carbon. Find it's molecular formula if it's vapour density is 29 [H = 1, C = 12]

Stoichiometry

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Answer

Element% compositionAt. wt.Relative no. of atomsSimplest ratio
Carbon82.81282.812\dfrac{82.8}{12} = 6.96.96.9\dfrac{6.9}{6.9} = 1
Hydrogen100 - 82.8 = 17.2117.21\dfrac{17.2}{1} = 17.217.26.9\dfrac{17.2}{6.9} = 2.5

C : H = 1 : 2.5 = 1 : 52\dfrac{5}{2} = 2 : 5

Simplest ratio of whole numbers = 2 : 5

Hence, empirical formula is C2H5

Empirical formula weight = 2(12) + 5(1) = 24 + 5 = 29

Vapour density (V.D.) = 29

Molecular weight = 2 x V.D. = 2 x 29 = 58

n=Molecular weightEmpirical formula weight=5829=2\text{n} = \dfrac{\text{Molecular weight}}{\text{Empirical formula weight}} \\[0.5em] = \dfrac{58}{29} = 2

Molecular formula = n[E.F.] = 2[C2H5] = C4H10

Hence, Molecular formula = C4H10

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