To determine the number of sugar molecules in a 7 M (molar) sugar solution in 1 liter of solution, we proceed as follows:
1. Understand the concentration:
- Molarity (M) is defined as the number of moles of solute (in this case, sugar) per liter of solution.
- Here, the concentration of the sugar solution is given as 7 M, meaning there are 7 moles of sugar per liter of solution.
2. Determine the volume of the solution:
- The volume of the sugar solution is given as 1 liter.
3. Calculate the number of moles of sugar:
- Using the definition of molarity, the number of moles of sugar in 1 liter of a 7 M solution is calculated by multiplying the molarity by the volume of the solution.
- Thus, the number of moles of sugar [tex]\( n \)[/tex] is:
[tex]\[
n = \text{Molarity} \times \text{Volume}
\][/tex]
- Substituting the given values:
[tex]\[
n = 7 \, \text{M} \times 1 \, \text{L} = 7 \, \text{moles}
\][/tex]
4. Rounding to the nearest integer:
- In this case, 7 is already an integer. No additional rounding is necessary.
Therefore, the number of sugar molecules in a 7 M sugar solution in 1 liter of solution, expressed in moles to the nearest integer, is:
[tex]\[
n = 7 \, \text{moles}
\][/tex]
