calculate the % of calcium carbonate in a mixture of calcium carbonate, sodium carbonate and magnesium sulfate if we obtained 1.73g of calcium carbonate and 2.34g of sodium carbonate and 1.93g of magnesium sulfate

Respuesta :

Answer:

Explanation:

Given parameters:

Mass of calcium carbonate = 1.73g

Mass of sodium carbonate = 2.34g

Mass of magnesium sulfate = 1.93g

Unknown:

Percentage of calcium carbonate in the mixture

Solution:

The mixture consists of :

   calcium carbonate + sodium carbonate + magnesium sulfate:

To find the percentage of calcium carbonate, we must first find the mass of the mixture by summing the masses of the different compounds that makes up the mixture:

            Mass of the mixture = 1.73 + 2.34 + 1.93 = 6.00g

Therefore,

percentage of calcium carbonate = [tex]\frac{mass of calcium carbonate}{mass of mixture}[/tex] x 100

Percentage of calcium carbonate = [tex]\frac{1.73}{6}[/tex] x 100 = 28.83%

28.83 % of calcium carbonate is present.

Calcium carbonate [tex]\rm (CaCO_{3})[/tex] is the compound found in aragonite and calcite and is the major element of shells and skeletons. It is also used as a dietary supplement.

How to calculate the percentage?

Given,

  • Mass of calcium carbonate = 1.73 g
  • Mass of magnesium sulfate = 1.93 g
  • Mass of sodium carbonate = 2.34 g

The total mass of the mixture will be:

[tex]\begin{aligned}\rm Mass \;of \;mixture} &= \rm \;mass\; of \;CaCO_{3} + \rm \;mass \;of \;NaCO_{3} + \rm \;mass \;of\; MgSO_{4}\\\\&= 1.73 \rm \;g + 2.34 \rm \;g + 1.93 \rm \;g \\\\&= 6.00 \rm \;g \end{aligned}[/tex]

The percentage of a compound or an element in a mixture can be  calculated as:

[tex]\% \text{of substance} = (\dfrac{\text{mass of substance} }{\text{mass of mixture}}) \times 100[/tex]

Now substitute values in the formula:

[tex]\begin{aligned}\% \text{of substance} &= (\dfrac{\text{1.73 g} }{\text{6.00 g}}) \times 100\\\\&= 28.8 \%\end{aligned}[/tex]

Therefore, 28.83 % of calcium carbonate is present.

Learn more about percentage yield here:

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