QuestionCalculate the moles of platinum in $8.4 \times 10^{22}$ atoms of $\mathrm{Pt}$ . [?] moles Pt

Studdy Solution

STEP 1

Assumptions1. The number of atoms of platinum (Pt) in the sample is $8.4 \times10^{22}$ . . We use Avogadro's number to convert between number of atoms and moles, which is approximately $6.022 \times10^{23}$ atoms/mole.

STEP 2

We can find the number of moles by dividing the number of atoms by Avogadro's number. The formula to calculate the number of moles is $\text{Number of moles} = \frac{\text{Number of atoms}}{\text{Avogadro's number}}$

STEP 3

Now, plug in the given values for the number of atoms and Avogadro's number to calculate the number of moles.
$\text{Number of moles} = \frac{8. \times10^{22}}{6.022 \times10^{23}}$

STEP 4

Perform the division to calculate the number of moles.
$\text{Number of moles} = \frac{8.4 \times10^{22}}{6.022 \times10^{23}} \approx0.14 \text{ moles}$ So, there are approximately0.14 moles of platinum in the sample.

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