An organic compound contains 69% carbon and 4.8% hydrogen, the remainder being oxygen. Calculate the masses of carbon dioxide and water produced when 0.20g of this substance is subjected to complete combustion.

Solution

(i) To calculate the mass of carbon dioxide:
Percentage of carbon

equals space 12 over 44 cross times fraction numerator Mass space of space CO subscript 2 over denominator Mass space of space the space substance end fraction cross times 100

Substituting the values, we have,

equals space 12 over 44 cross times fraction numerator Mass space of space CO subscript 2 over denominator Mass space of space the space substance end fraction cross times 100

Substituting the values, we have,

69 space equals space 12 over 44 cross times fraction numerator Mass space of space CO subscript 2 over denominator 0.20 end fraction cross times 100

therefore space space space Mass space of space CO subscript 2 space equals space fraction numerator 69 space cross times space 44 space cross times space 0.20 over denominator 12 space cross times space 100 end fraction space equals space 0.506 space straight g

(ii) To calculate the mass of water:

Percentage space of space hydrogen space space equals space 2 over 18 cross times fraction numerator Mass space of space straight H subscript 2 straight O over denominator Mass space of space substance end fraction cross times space 100

Substituting the values, we have,

4.8 space equals space 2 over 18 cross times fraction numerator Mass space straight H subscript 2 straight O over denominator 0.20 end fraction cross times 100

therefore space space Mass space of space straight H subscript 2 straight O space equals space fraction numerator 4.8 space cross times space 18 space cross times space 0.20 over denominator 2 space cross times space 100 end fraction space equals space 0.0864 space straight g

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