How many moles are there in 2.3 x 1024 atoms of
sulfur?

Explanation:

We are asked to convert a number of atoms to moles.

We can convert atoms to moles using Avogadro's Number, which is 6.022 × 10²³. This is the number of particles (atoms, molecules, formula units, etc.) in 1 mole of a substance. In this problem, the particles are atoms of sulfur. There are 6.022 ×10²³ atoms of sulfur in 1 mole of sulfur.

We use dimensional analysis to convert atoms to moles. This involves setting up ratios. Use Avogadro's Number and the underlined information to make a ratio.

We are converting 2.3 ×10²⁴ atoms of sulfur to moles, so we multiply by this value.

Flip the ratio. It is equivalent, but it allows the units of atoms of sulfur to cancel.

The original measurement of atoms (2.3 ×10²⁴) has 2 significant figures, so our answer must have the same. For the number we calculated that is the tenths place. The 1 in the hundredths place to the right (3.819329127) tells us to leave the 8 in the tenths place (3.819329127).

2.3 ×10²⁴ atoms of sulfur is equal to approximately 3.8 moles of sulfur.

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