Calculate the empirical and molecular formula of the compound containing
80% Carbon, 20% Hydrogen. If the molecular mass of the compound is 30 then determine the molecular formula
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Answers
Answer:We have ethane .
Explanation: As with all these problems, it is usually assumed that we have a 100 ⋅ g mass of unknown compound, and we work out the molar quantities:
And thus moles of carbon ≡ 80 ⋅ g / 12.011 ⋅ g ⋅ mo l ^− 1 = 6.66 ⋅ m o l .
And thus moles of hydrogen ≡ 20 ⋅ g / 1.008 ⋅ g ⋅ m ol^ − 1 = 19.8 ⋅ m o l .
We divide the molar quantities thru by the SMALLER molar quantity:
C : 6.66 ⋅ m o l / 6.66 ⋅ m o l = 1
H : 19.8⋅ m o l / 6.66 ⋅ m o l = 2.97
And thus the empirical formula = C H 3
And we know that the molecular formula is always a multiple of the empirical formula, and thus is terms of mass:
i.e. molecular formula = n × empirical formula
But we have a molecular mass of 30 ⋅ amu
So,30 ⋅ amu = n × ( 12.01 + 3 × 1.01 ) ⋅ amu
Clearly , n = 2 , and the MOLECULAR FORMULA is C 2 H 6 .
This is not a realistic problem, as few analysts would perform combustion on a liquid, and no analyst could perform combustion on a gas.