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Question

In addition to carbon monoxide(CO) and carbon dioxide (CO2), there is a third compound of carbon called carbon sub-oxide. If a 2.500g sample of carbon sub-oxide contains 1.32 g of C and 1.18 g of O, using the law of multiple proportions, a possible formula of carbon sub-oxide can be deduced. What is the number of carbon atoms in such a formula?

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Solution

First, find the ratio of weights of carbon to that of oxygen for three compounds.
For CO, 11.33=0.75......(1)
For CO2, 12.66=0.375 ......(2)
For carbon suboxide 1.321.18=1.12......(3)
The ratio (1) : (2) :(3) is 2:1:3.
1.3212:1.1816=3:2
Hence, the molecular formula is C3O2
Hence, the number of carbon atoms in the formula is 3.

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