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Question

180 g of a hydrocarbon reacts fully with excess oxygen and produces 264 g of CO2 and 108 g of H2O. If the ratio of molar mass of the hydrocarbon to the empirical formula mass is 6 then find the molecular formula of given hydrocarbon.

A
CH2O
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B
C6H12O6
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C
C12H24O12
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D
C42H84O42
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Solution

The correct option is B C6H12O6
Mass of carbon produced =1244×264=72 g
Number of moles of carbon =7212=6 mol
Mass of hydrogen produced: =218×108=12 g
Number of moles of hydrogen (H)=121=12
Mass of oxygen in 180 g of sample 1807212=96 g
Number of moles of oxygen atoms =9616=6 mol
So, ratio of moles in 180 g of sample:
nC:nH:nO=1:2:1
Emprical formula of the given hydrocaron CH2O
Molecular formula of the given hydrocarbon: n×emprical formula
Where, n is ratio of the molar mass to the empirical formula mass which is 6, molecular formula of the given hydrocarbon is C6H12O6.

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