Question
How many molecules of water are present in 8.7 moles of water? (1 point)
Responses
4.69 molcules
4.69 molcules
5.2 x 1024 molecules
5.2 x 1024 molecules
4.7 x 1024 molecules
4.7 x 1024 molecules
6.022×1023 molecules
Responses
4.69 molcules
4.69 molcules
5.2 x 1024 molecules
5.2 x 1024 molecules
4.7 x 1024 molecules
4.7 x 1024 molecules
6.022×1023 molecules
Answers
GPT-4o mini
To find the number of molecules of water in 8.7 moles, you can use Avogadro's number, which is approximately \(6.022 \times 10^{23}\) molecules per mole.
The calculation is as follows:
\[
\text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number}
\]
\[
\text{Number of molecules} = 8.7 \, \text{moles} \times 6.022 \times 10^{23} \frac{\text{molecules}}{\text{mole}}
\]
Calculating that gives:
\[
8.7 \times 6.022 \approx 52.4
\]
So:
\[
\text{Number of molecules} \approx 5.2 \times 10^{24} \, \text{molecules}
\]
Thus, the correct response is:
**5.2 x 10^24 molecules**.
The calculation is as follows:
\[
\text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number}
\]
\[
\text{Number of molecules} = 8.7 \, \text{moles} \times 6.022 \times 10^{23} \frac{\text{molecules}}{\text{mole}}
\]
Calculating that gives:
\[
8.7 \times 6.022 \approx 52.4
\]
So:
\[
\text{Number of molecules} \approx 5.2 \times 10^{24} \, \text{molecules}
\]
Thus, the correct response is:
**5.2 x 10^24 molecules**.