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.
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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