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Question

Compound A has the following percentage composition by mass: Carbon 26.7 %, Oxygen 71.1%, Hydrogen 2.2%. Determine the empirical formula of A (H=1, C=12, O=16). If the relative molecular mass of A is 90, what is the molecular formula of A?


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Solution

Step 1: Find the empirical formula:

ElementPercentage weightAtomic massRelative no. of molesSimple ratio of atoms
C26.71226.7/12= 2.22.2/2.2=1
H2.212.2/1= 2.22.2/2.2=1
O71.101671.10/16=4.44.4/ 2.2= 2

Therefore, the empirical formula is CHO2.

Step 2: Calculate the molecular formula

Empirical formula mass = 12 + 2 x 16 + 1 x 1

= 12 + 32 + 1 = 45

Molecular mass of A = 90

n = molecular mass / Empirical formula mass

= 90 / 45 = 2

Therefore, Molecular formula = n x Empirical formula

= 2 x C1H1O2

= C2H2O4

Step 3: Result

Hence, the empirical formula is CHO2, and the molecular formula is C2H2O4.


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