Final answer:
Given the estimated diameter of an atom, we use formulas to calculate the volume of an atom and then, we find that there are approximately 1.9x10^22 atoms in 1 cm^3 of a solid.
Step-by-step explanation:
To answer the question, first, note that the diameter of an atom is about 1x10-10 m. Thus, the radius (r) is about 0.5x10-10 m. The volume (V) of an atom can be determined by the formula V = 4/3πr3. So, plug in our radius value, and you will find V is about 5.24x10-29 m3.
Since 1 cm3 = 1x10-6 m3, and there are many identical atoms in that volume, the number of atoms (N) can be estimated by = Volume of cube (cm3) / Volume of sphere (cm3) . When we do the calculation, N is approximately 1.9x1022.
So, we can estimate that there are approximately 1.9x1022 atoms in 1 cm3 of a solid.
Learn more about Atoms in Solid