Answer: 2.91 moles
Explanation:
To find the number of moles of \(NH\(_3\)\) that contain\(\(1.75 \times 10^{24}\)\) molecules, we can use Avogadro's number, which is \(\(6.022 \times 10^{23}\)\)molecules per mole.
The formula to calculate the number of moles from the number of molecules is:
\(\[\text{Number of moles} = \frac{\text{Number of molecules}}{\text{Avogadro's number}}\]\)
Plugging in the given values:
\(\[\text{Number of moles} = \frac{1.75 \times 10^{24}}{6.022 \times 10^{23}}\]\)
Now, perform the division:
\(\[\text{Number of moles} = \frac{1.75 \times 10^{24}}{6.022 \times 10^{23}} \approx 2.91\]\)
So, \(\(1.75 \times 10^{24}\)\) molecules of \(NH\(_3\)\) is approximately equal to \(\(2.91\)\) moles.
