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When 3g of a non volatile hydrocarbon containing 94.4% carbon is dissolved in 100 g benzene the vapour pressure of benzene is lowered from 9.953 to 9.823 K Pa. The molecular formula of the hydrocarbon is :-

Asked by Atulcaald 15th May 2018, 12:57 PM
Answered by Expert
Answer:
Weight space of space solute space equals space 3 space straight g

Weight space of space solvent space equals space 100 space straight g

fraction numerator straight P subscript 0 space minus straight P subscript 1 space over denominator straight P subscript 0 end fraction space equals fraction numerator straight w subscript 2 cross times space straight M subscript 1 over denominator straight M subscript 2 cross times straight w subscript 1 end fraction


fraction numerator 9.953 minus 9.823 over denominator 9.953 end fraction space equals fraction numerator 3 cross times 78 over denominator straight M subscript 2 cross times space 100 end fraction

fraction numerator 0.13 over denominator 9.953 end fraction cross times 100 straight M subscript 2 space space equals 234

space space space space space space space space space space space space space space space space space space space space space space straight M subscript 2 space equals space space 179.16 space gmol to the power of negative 1 end exponent

As space 100 space percent sign space equals space 179.16 space

space space space space space 94.4 percent sign space equals space fraction numerator space space 94.4 cross times 179.16 space over denominator 100 end fraction

space space space space space space space space space space space space space space space space space space space equals space 169

therefore space Hydrocarbon space cnatins space total space 169 space straight g divided by mol space of space Carbon
No space of space carbon space atoms equals space 169 over 12

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 14


Weight space of space hydrogen space equals space Total space weight space minus space weight space of space carbon
space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 179.16 space minus 169

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space space 10

So space the space formula space of space hydrocarbon space will space be space straight C subscript 14 straight H subscript 10.
Answered by Expert 17th May 2018, 3:28 PM
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