QuestionFind the number of $\mathrm{Li}$ atoms in $7.2 \mathrm{~mol}$ of $\mathrm{Li}$ . Round your answer to two significant figures.

Studdy Solution

STEP 1

Assumptions1. We have7. moles of $\mathrm{Li}$ . . We are asked to calculate the number of $\mathrm{Li}$ atoms.
3. We know that1 mole of any substance contains Avogadro's number ( $6.022 \times10^{23}$ ) of entities (atoms, molecules, etc.).

STEP 2

We can calculate the number of atoms using the formula $_{\mathrm{Li}} = \text{Number of moles} \times \text{Avogadro's number}$

STEP 3

Now, plug in the given values for the number of moles and Avogadro's number to calculate the number of $\mathrm{Li}$ atoms.
$_{\mathrm{Li}} =7.2 \, \text{moles} \times6.022 \times10^{23} \, \text{atoms/mole}$

STEP 4

Calculate the number of $\mathrm{Li}$ atoms.
$_{\mathrm{Li}} =7.2 \times6.022 \times10^{23} =4.33584 \times10^{24} \, \text{atoms}$

STEP 5

As the answer should be expressed using two significant figures, we round $4.33584 \times10^{24}$ to $4.3 \times10^{24}$ .
So, the number of $\mathrm{Li}$ atoms in $7.2 \, \mathrm{mol}$ of $\mathrm{Li}$ is $4.3 \times10^{24}$ atoms.

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