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Anestetic
1 month ago
14

A 0.1153-gram sample of a pure hydrocarbon was burned in a C-H combustion train to produce 0.3986 gram of CO2and 0.0578 gram of

H2O. Determine the masses of C and H in the sample and the percentages of these elements in this hydrocarbon.
Chemistry
1 answer:
lorasvet [2.7K]1 month ago
8 0

Answer: The carbon and hydrogen masses in the sample are 0.1087 g and 0.0066 g, respectively, with percentage compositions of 94.27 % for carbon and 5.72 % for hydrogen.

Explanation:

The combustion equation for the hydrocarbon containing carbon and hydrogen is expressed as follows:

C_xH_y+O_2\rightarrow CO_2+H_2O

where 'x' and 'y' denote the subscripts for carbon and hydrogen.

Given:

Mass of CO_2=0.3986g

Mass of H_2O=0.0578g

Total mass of the sample = 0.1153 g

We understand that:

Molecular weight of carbon dioxide = 44 g/mol

Molecular weight of water = 18 g/mol

  • To find the mass of carbon:

In 44 g of carbon dioxide, there are 12 g of carbon.

This implies that in 0.3986 g of carbon dioxide, \frac{12}{44}\times 0.3986=0.1087g will represent the carbon contained.

  • To find the mass of hydrogen:

In 18 g of water, there are 2 g of hydrogen.

<pso in="" g="" of="" water="" src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B18%7D%5Ctimes%200.0578%3D0.0066g" id="TexFormula5" title="\frac{2}{18}\times 0.0578=0.0066g" alt="\frac{2}{18}\times 0.0578=0.0066g" align="absmiddle" class="latex-formula"> will represent the hydrogen contained.

To compute the percentage composition of a substance in a sample, we apply the following equation:

\%\text{ composition of substance}=\frac{\text{Mass of substance}}{\text{Mass of sample}}\times 100      ......(1)

  • For Carbon:

Mass of sample = 0.1153 g

Mass of carbon = 0.1087 g

Substituting into equation 1 yields:

\%\text{ composition of carbon}=\frac{0.1087g}{0.1153g}\times 100=94.27\%

  • For Hydrogen:

Mass of sample = 0.1153 g

Mass of hydrogen = 0.0066 g

Substituting into equation 1 yields:

\%\text{ composition of hydrogen}=\frac{0.0066g}{0.1153g}\times 100=5.72\%

Consequently, the carbon and hydrogen masses in the sample are 0.1087 g and 0.0066 g, respectively, with percentage compositions of 94.27 % for carbon and 5.72 % for hydrogen.

</pso>
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