Answer :

Answer: 2.91 moles

Explanation:

To find the number of moles of [tex]NH\(_3\)[/tex] that contain[tex]\(1.75 \times 10^{24}\)[/tex] molecules, we can use Avogadro's number, which is [tex]\(6.022 \times 10^{23}\)[/tex]molecules per mole.

The formula to calculate the number of moles from the number of molecules is:

[tex]\[\text{Number of moles} = \frac{\text{Number of molecules}}{\text{Avogadro's number}}\][/tex]

Plugging in the given values:

[tex]\[\text{Number of moles} = \frac{1.75 \times 10^{24}}{6.022 \times 10^{23}}\][/tex]

Now, perform the division:

[tex]\[\text{Number of moles} = \frac{1.75 \times 10^{24}}{6.022 \times 10^{23}} \approx 2.91\][/tex]

So, [tex]\(1.75 \times 10^{24}\)[/tex] molecules of [tex]NH\(_3\)[/tex] is approximately equal to [tex]\(2.91\)[/tex] moles.

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