Answer:
Step-by-step explanation:
Data Given:
mass of carbon = 12.01 g
mass of Oxygen = 16.00 g
mass of Hydrogen = 1.008 g
number of atoms of carbon, oxygen, and hydrogen = ?
Solution:
For Carbon
Formula used to find the number of atoms
no. of moles = number of atoms / Avogadro's number. . . . . (1)
Where
Avogadro's number = 6.02 x 10²³
So, first we have to find number of moles
Formula to find no. of moles
no. of moles = mass in grams/ molar mass. . . . . (2)
molar mass of Carbon = 12.01g/mol
Put values in eq.2
no. of moles = 12.01 g / 12.01 g/mol
no. of moles = 1 mol
Now put the values in eq. 1
no. of moles = number of atoms / 6.022 x 10²³ . . . . . (1)
1 mole = number of atoms / 6.022 x 10²³
Rearrange the above equation
number of atoms = 1 mol x 6.022 x 10²³
number of atoms = 6.022 x 10²³
So it is 6.022 x 10²³ atoms in 12.01 grams of carbon.
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For Oxygen
Formula used to find the number of atoms
no. of moles = number of atoms / Avogadro's number. . . . . (1)
Where
Avogadro's number = 6.02 x 10²³
So, first we have to find number of moles
Formula to find no. of moles
no. of moles = mass in grams/ molar mass. . . . . (2)
molar mass of Oxygen = 16.00 g/mol
Put values in eq.2
no. of moles = 16.00 g / 16.00 g/mol
no. of moles = 1 mol
Now put the values in eq. 1
no. of moles = number of atoms / 6.022 x 10²³ . . . . . (1)
1 mole = number of atoms / 6.022 x 10²³
Rearrange the above equation
number of atoms = 1 mol x 6.022 x 10²³
number of atoms = 6.022 x 10²³
So it is 6.022 x 10²³ atoms in 16.00 grams of oxygen.
___________
For Hydrogen
Formula used to find the number of atoms
no. of moles = number of atoms / Avogadro's number. . . . . (1)
Where
Avogadro's number = 6.02 x 10²³
So, first we have to find number of moles
Formula to find no. of moles
no. of moles = mass in grams/ molar mass. . . . . (2)
molar mass of hydrogen = 1.008 g/mol
Put values in eq.2
no. of moles = 1.008 g / 1.008 g/mol
no. of moles = 1 mol
Now put the values in eq. 1
no. of moles = number of atoms / 6.022 x 10²³ . . . . . (1)
1 mole = number of atoms / 6.022 x 10²³
Rearrange the above equation
number of atoms = 1 mol x 6.022 x 10²³
number of atoms = 6.022 x 10²³
So it is 6.022 x 10²³ atoms in 1.008 grams of Hydrogen.
______________
**Note:
The answer for each grams of carbon, oxygen and hydrogen is the same that is 6.022 x 10²³ atoms.
It is because 6.022 x 10²³ atoms is Avogadro's number and it state that one mole of any substance consist of the same number of atoms/molecules/particles/ions
So, 6.022 x 10²³ number of atoms will form one mole of Carbon, hydrogen and oxygen individually. It is because the mass of these Carbon, hydrogen and oxygen given in grams equal to one mole and it consist of the same number of atoms, that is why the answer is final and same for each one.