Question

How many atoms are in 9.35 moles of lithium?

Answer 1

Answer: 3.45 moles Li contains 2.08 × 10 (to the power of)24 atoms . Explanation: The relationship between atoms and moles is:. 1 mole atom. =6.022

Answer 2

`\boxed {\sf 5.63 * 10^(24) \ atoms \ Li}}`

Step-by-step explanation:

We are asked to find how many atoms are in 9.35 moles of lithium (Li)

Moles are converted to atoms using Avogadro's Number or 6.022×10²³. This is the number of particles (atoms, molecules, formula units, etc.) in 1 mole of a substance. In this case, the particles are atoms of lithium.

We convert using dimensional analysis, so we set up a conversion factor using Avogadro's Number.

`\frac {6.022 * 10^(23) \ atoms \ Li}{1 \ mol \ Li}`

We are converting 9.35 moles of lithium to atoms, so we multiply the conversion factor by this value.

`9.35 \ mol \ Li *\frac {6.022 * 10^(23) \ atoms \ Li}{1 \ mol \ Li}`

The units of moles of lithium cancel.

`9.35 *\frac {6.022 * 10^(23) \ atoms \ Li}{1 }`

`9.35 *{6.022 * 10^(23) \ atoms \ Li}`

`5.63057*10^(24) \ atoms \ Li`

The original value of moles (9.35) has 3 significant figures, so our answer must have the same. For the number we found that is the hundredth place. The 0 in the thousandth place tells us to leave the 3 in the hundredth place.

`5.63 * 10^[24} \ atoms \ Li`

9.35 moles of lithium contains approximately 5.63×10²⁴ atoms of lithium.