To find out how many carbon monoxide (CO) molecules are in 0.75 moles of carbon monoxide, we can use Avogadro's number, which tells us the number of molecules in one mole of a substance. Avogadro's number is approximately [tex]\( 6.022 \times 10^{23} \)[/tex] molecules per mole.
Here's how we can approach the problem step-by-step:
1. Determine the number of moles given: In this case, we have 0.75 moles of carbon monoxide.
2. Recall Avogadro's number: Avogadro's number is [tex]\( 6.022 \times 10^{23} \)[/tex] molecules per mole.
3. Calculate the total number of molecules: To find the total number of molecules, we multiply the number of moles by Avogadro's number:
[tex]\[
\text{Number of molecules} = 0.75 \text{ moles} \times 6.022 \times 10^{23} \, \text{molecules/mole}
\][/tex]
4. Perform the multiplication:
[tex]\[
0.75 \times 6.022 = 4.5165
\][/tex]
5. Combine the results with the power of ten:
[tex]\[
4.5165 \times 10^{23}
\][/tex]
So, the number of carbon monoxide molecules in 0.75 moles of carbon monoxide is [tex]\( 4.5165 \times 10^{23} \)[/tex].
Finally, ensuring the prefix is between 1 and 10 and with the correct number of significant figures, the number of molecules is indeed:
[tex]\[
\boxed{4.5165 \times 10^{23}}
\][/tex]
