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A student calculated the number of moles of carbon dioxide to be 0.30 moles in a 200.0 g sample of a gaseous mixture. What is the percent composition of carbon dioxide? (molar mass = 44.01 g/mol)
A. 0.066%
B. 13%
C. 30%
D. 6.6%

Sagot :

CintiaSalazaridn

Considering the definition of percentage by mass, the correct answer is option D. the percent composition of carbon dioxide is 6.6%

Percentage by mass

The percentage by mass expresses the concentration and indicates the amount of mass of solute present in 100 grams of solution.

In other words, the percentage by mass of a component of the solution is defined as the ratio of the mass of the solute to the mass of the solution, expressed as a percentage.

The percentage by mass is calculated as the mass of the solute divided by the mass of the solution, the result of which is multiplied by 100 to give a percentage. This is:

[tex]percentage by mass=\frac{mass of solute}{mass of solution} x100[/tex]

Percent composition of carbon dioxide

In this case, you know:

  • mass of solute= 0.30 moles × [tex]\frac{44.01 grams}{1 mole}[/tex]= 13.203 grams (being 44.01 [tex]\frac{grams}{mole}[/tex] the molar mass of carbon dioxide)
  • mass of solution= 200 grams

Replacing in the definition of percentage by mass:

[tex]percentage by mass=\frac{13.203 grams}{200 grams} x100[/tex]

Solving:

percentage by mass= 6.60 %

Finally, the correct answer is option D. the percent composition of carbon dioxide is 6.6%

Learn more about percentage by mass:

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