The chemical formula for baking soda is NaHCO3. A 168.02-g sample of baking soda contains 45.98 g of sodium, 2.02 g of hydrogen, 24.02 g of carbon, and 96 g of oxygen. What is the mass percentage of each element in baking soda?

Respuesta :

The mass percentage of each element in baking soda is:

  • For sodium, it is 27.36%.
  • For hydrogen, it is 1.2%.
  • For carbon, it is 14.3%.
  • For oxygen, it is 57.14%

The calculation of mass percentage for each element is as follows:

  • For sodium [tex]= \frac{45.98}{168.02} \times 100\%[/tex] = 27.36%
  • For hydrogen [tex]= \frac{2.02}{168.02} \times 100\%[/tex] = 1.2%.
  • For carbon [tex]= \frac{24.02}{168.02} \times 100\%[/tex] = 14.3%
  • For oxygen [tex]= \frac{96}{168.02} \times 100\%[/tex] = 57.14%

In this way, the mass percentage should be calculated by dividing each one from the baking soda sample.

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Answer:

The mass percentages of sodium, hydrogen, carbon, and oxygen are 27.37%, 1.20%, 14.30%, and 57%, respectively.

Explanation:

The mass percentage (%mass) of an element present in a compound is calculated using the following expression:

[tex]\rm \%mass=\dfrac{mass\;of\;the\;element}{mass\;of\;the\;compound}\times 100\%[/tex]

According to the given problem, the mass of [tex]\rm NaHCO_3[/tex] is 168.02 g.

The mass of sodium in the given sample is 45.98 g.

So, the %mass of sodium in the given sample is calculated as shown below:

[tex]\rm \%mass\;of\;sodium=\dfrac{45.98\;g}{168.02\;g}\times 100\%=27.37\%[/tex]

Similarly, the mass percentages of hydrogen, carbon, and oxygen are calculated as shown below:

[tex]\rm \%mass\;of\;hydrogen=\dfrac{2.02\;g}{168.02\;g}\times 100\%=1.20\%[/tex]

[tex]\rm \%mass\;of\;carbon=\dfrac{24.02\;g}{168.02\;g}\times 100\%=14.30\%[/tex]

[tex]\rm \%mass\;of\;oxygen=\dfrac{96\;g}{168.02\;g}\times 100\%=57\%[/tex]

Hence, the mass percentages of sodium, hydrogen, carbon, and oxygen are 27.37%, 1.20%, 14.30%, and 57%, respectively.

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