To calculate the mass of atoms, we need to know the molar mass of the element. The molar mass of oxygen (O) is approximately 16.00 grams per mole.
To determine the mass of a given number of atoms, we can use the Avogadro's number, which states that there are 6.022 x 10^23 atoms in one mole of any substance.
Given that we have 3.01 x 10^23 atoms of oxygen, we can set up a proportion to find the mass:
(3.01 x 10^23 atoms) / (6.022 x 10^23 atoms) = x grams / 16.00 grams per mole
Simplifying the proportion:
(3.01 x 10^23 atoms) / (6.022 x 10^23 atoms) = x / 16.00
Cross-multiplying:
(3.01 x 10^23) * 16.00 = 6.022 x 10^23 * x
48.16 x 10^23 = 6.022 x 10^23 * x
Now, we can solve for x (the mass):
x = (48.16 x 10^23) / (6.022 x 10^23)
x ≈ 7.99 grams
Therefore, the mass of 3.01 x 10^23 atoms of oxygen is approximately 7.99 grams.