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Chemistry

A compound A consists of 4.8% carbon and 95.2% bromine by mass. Its vapour density is 252. Find its :

(i) empirical formula

(ii) molecular formula

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Answer

Element% compositionAtomic weightRelative no. of atomsSimplest ratio
Carbon4.8124.812\dfrac{4.8}{12} = 0.40.40.4\dfrac{0.4}{0.4} = 1
Bromine95.28095.280\dfrac{95.2}{80 } = 1.191.190.4\dfrac{1.19}{0.4} = 2.9=3

Simplest ratio of whole numbers = C : Br = 1 : 3

Hence, empirical formula is CBr3

(i) Empirical formula weight = 12 + 3(80) = 252 g

Molecular weight = 2 x V.D. = 2 x 252 = 504

n=Molecular weightEmpirical formula weight=504252=2\text{n} = \dfrac{\text{Molecular weight}}{\text{Empirical formula weight}} \\[0.5em] = \dfrac{504}{252} = 2

Molecular formula = n[E.F.] = 2[CBr3] = C2Br6

∴ Molecular formula = C2Br6

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