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Some Basic Concepts Of Chemistry

Question
CBSEENCH11005048

Butyric acid contains only C, H and O, 4.24mg sample of butyric acid is completely burnt. It gives 8.45mg of carbon dioxide and 3.46mg of water. What is the mass percentage of each element in butyric acid?

Solution
To calculate the mass percentage of C.
                                                  CO subscript 2 identical to straight C
                                              44 space mg space identical to space 12 space mg
                 44 space mg space CO subscript 2 space contains space straight C space equals space 12 space mg
therefore space space space space 8.45 space CO subscript 2 space would space contain space straight C space equals space 12 over 44 cross times 8.45 space equals space 2.304 space mg
                            percent sign space age space of space straight C space equals space fraction numerator 2.304 over denominator 4.24 end fraction cross times 100 space equals space 54.30
Percentage of H.
                                       straight H subscript 2 straight O space identical to space 2 straight H
18 space mg space identical to space 2 space mg
         therefore space space space 3.46 space mg space straight H subscript 2 straight O space would space contain space straight H space equals space 2 over 18 cross times 3.46 space equals space 0.38 space mg
                                    percent sign space age space of space straight H space equals space fraction numerator 0.384 over denominator 4.24 end fraction cross times 100 space equals space 9.06 percent sign
Percentage of O.
               percent sign space age space of space straight O space equals space 100 space minus left parenthesis percent sign age space of space straight C space plus space percent sign space age space of space straight H right parenthesis
space space space space space space space space space space space space space space space space space equals space 100 minus left parenthesis 54.30 plus 9.06 right parenthesis space equals space 36.64