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Question

A gaseous compound is composed of 85.7% by mass carbon and 14.3% by mass hydrogen. Its density is 2.28 g/L at 300 K and 1 atm. Determine the molecular formula of the compound.

A
C2H2
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B
C2H4
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C
C4H8
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D
C4H10
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Solution

The correct option is C C4H8
d=PMRTM=dRTP=2.28×0.0821×3001=56.15 g/mol

Empirical formula =85.712:14.31=7.14:14.3=1:2
Empirical formula is CH2.
Molecular formula is (CH2)n where n=56.1512+24.
Therefore molecular formula is C4H8.

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