College

You have two solutions of sodium chloride. One is a 2.00 M solution, and the other is a 4.00 M solution. You have much more of the 4.00 M solution, and you add the solutions together. Which of the following could be the concentration of the final solution?

A. 3.00 M
B. 3.50 M
C. 6.00 M
D. 8.00 M

Answer :

To solve the problem of finding the concentration of the final solution when mixing two sodium chloride solutions, one with a concentration of 2.00 M and the other with a concentration of 4.00 M, follow these steps:

1. Understanding the Problem:
- You are mixing two solutions of different concentrations.
- One solution is 2.00 M (molarity), and the other is 4.00 M.
- You have much more of the 4.00 M solution.

2. What Is Molarity?
- Molarity (M) is a measure of the concentration of a solution, given as the number of moles of solute per liter of solution.

3. Consider the Proportions:
- Since there is much more of the 4.00 M solution, the overall concentration of the final mixture will be closer to 4.00 M than to 2.00 M.

4. Calculate Possible Final Concentration:
- To find a possible final concentration for mixed solutions, we need to find a value between 2.00 M and 4.00 M that reflects the fact there's more of the 4.00 M solution.
- A simple way to approximate a likely final concentration is to find the average, as a start: [tex]\((2.00 + 4.00) / 2 = 3.00\)[/tex].

5. Choose the Correct Option:
- The closest option to this average, considering the influence of having more 4.00 M solution, is 3.00 M.

Therefore, the concentration of the final solution when mixing together these sodium chloride solutions could be 3.00 M.