To determine the number of water molecules in 4.0 moles of water, we can follow a systematic approach based on chemical principles and constants. Here is a detailed step-by-step solution for this problem:
1. Given Data:
- We have 4.0 moles of water.
2. Important Constant:
- Avogadro's number ([tex]\(N_A\)[/tex]), which is approximately [tex]\(6.022 \times 10^{23}\)[/tex] molecules per mole.
3. Calculation:
- To find the total number of water molecules, we use the following formula:
[tex]\[
\text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number}
\][/tex]
Substituting the given values:
[tex]\[
\text{Number of molecules} = 4.0 \text{ moles} \times 6.022 \times 10^{23} \text{ molecules/mole}
\][/tex]
- This calculation results in:
[tex]\[
\text{Number of molecules} \approx 2.41 \times 10^{24}
\][/tex]
4. Result:
- The number of water molecules in 4.0 moles of water is [tex]\(2.41 \times 10^{24}\)[/tex].
So, the number of water molecules in 4.0 moles of water expressed in scientific notation is:
[tex]\[
\boxed{2.41 \times 10^{24}}
\][/tex]
