Respuesta :

The molecular formula for aspartame is C14H18N2O5, and its molar mass is about 294 g/mol.

Convert 1.2 g into moles, which gives

1.2 g / 294 g/mol = 4.08 X 10-3 moles aspartame.

Since each mole of aspartame has 2 moles of nitrogen, you have 8.16 X 10-3 moles of N in your 1.2 grams of aspartame.

Finally, multiply that by Avogadro's number to get the number of N atoms:

8.16 X 10^-3 mol X 6.02 X 10^23 = 4.9 X 10^21 nitrogen atoms.

There are [tex]4.9\times 10^{21}[/tex]atoms of nitrogen in 2.1 grams of aspartame.

Explanation:

  • Aspartame is a compound used as an artificial sweetener
  • It has a chemical formula of [tex]C_{14}H_{18}N_2O_5[/tex]

Given:

The 1.2 grams of aspartame

To find:

The number of nitrogen atoms is 1.2 grams of aspartame

Solution:

The mass of aspartame = 1.2 g

The molar mass of aspartame = 294.3 g/mol

The moles of aspartame :

[tex]=\frac{1.2 g}{294.3 g/mol}=0.004077 mol\approx 0.0041 mol[/tex]

In 1 mole of aspartame, there are 2 moles of nitrogen, then in 0.0041 moles of aspartame there will be:

[tex]=2\times 0.0041 mol= 0.0082 mol[/tex]

Moles of nitrogen in 1.2 grams of aspartame = 0.0082 mol

According to the mole concept:

[tex]1 mol= N_A=6.022\times 10^{23} atoms/molecules/ions[/tex]

The number of atoms of nitrogen in 0.0082 moles of nitrogen :

[tex]=0.0082\times 6.022\times 10^{23} atoms=4.9\times 10^{21} atom[/tex]

There are [tex]4.9\times 10^{21}[/tex]atoms of nitrogen in 2.1 grams of aspartame.

Learn more about the mole concept here:

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