Answer: 7.226 x 10^22 oxygen atoms
EXPLANATION :
we know that 1 mole of anything is 6.022 x 10^23 of that thing.
The formula of Quartz is SiO2. So, 1 mole of Quartz will have 2 moles of oxygen atoms, i.e. 2 x 6.022 x 10^23 atoms of oxygen.
The molar mass of quartz is 60 g per mol. So, 60 g quartz means 1 mole quartz. We are given 3.6 g quartz,
60 g quartz means 1 mole quartz or 2 x 6.022 x 10^23 oxygen atoms.
then 3.6 g quartz will have oxygen atoms equal to (2 x 6.022 x 10^23 x3.6) / 60 = 0.7226 x 10^23 oxygen atoms or 7.226 x 10^22 oxygen atoms.
There are [tex]7.214\times 10^{22}[/tex] atoms of oxygen in 3.60 grams of quartz.
Explanation:
Given:
The mass of quartz = 3.60 g
To find:
The number of oxygen atoms in 3.60 grams of quartz.
Solution:
The chemical formula of quartz =[tex]SiO_2[/tex]
The mass of quartz = 3.60 g
The molar mass of quartz :
[tex]= 1\times 28.086 g/mol+2\times `15.999 g/mol=60.084 g/mol[/tex]
The moles of quartz:
[tex]=\frac{3.60 g}{60.084 g/mol}\\=0.0599 mol[/tex]
In 1 mole of quartz, there are 2 moles of oxygen , then 0.0599 moles of quartz will have:
[tex]=2\times 0.0599 mol=0.1198 mol[/tex]
Moles of oxygen = 0.1198 mol
According to the mole concept:
1 mol =[tex]N_A=6.022\times 10^{23}[/tex]atoms/molecules/particles
Then a number of oxygen atoms in 0.1198 moles of oxygen:
[tex]=0.1198\times 6.022\times 10^{23} atoms=7.214\times 10^{22} atoms[/tex]
There are [tex]7.214\times 10^{22}[/tex] atoms of oxygen in 3.60 grams of quartz.
Learn more about the mole concept here:
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