Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Find the new concentration of a solution if 25.0 mL of water is added to 125.0 mL of 0.150 M NaCl solution.

1. What is the final volume?
- 150.0 mL

2. Which equation should you use to find the final concentration?
- [tex]\( M_f = \frac{M_i V_i}{V_f} \)[/tex]

3. What is the new concentration?
- _____ M NaCl


Sagot :

To solve this problem, let's break down the task into manageable steps.

1. Identify the initial conditions and the amount of water added:
- Initial volume of the NaCl solution: [tex]\( V_{\text{initial}} = 125.0 \, \text{mL} \)[/tex]
- Initial concentration of the NaCl solution: [tex]\( M_{\text{initial}} = 0.150 \, \text{M} \)[/tex]
- Volume of water added: [tex]\( V_{\text{water added}} = 25.0 \, \text{mL} \)[/tex]

2. Calculate the final volume of the solution after adding water:
- The final volume [tex]\( V_{\text{final}} \)[/tex] is simply the sum of the initial volume and the volume of water added:
[tex]\[ V_{\text{final}} = V_{\text{initial}} + V_{\text{water added}} = 125.0 \, \text{mL} + 25.0 \, \text{mL} = 150.0 \, \text{mL} \][/tex]

3. Use the dilution formula to calculate the final concentration:
[tex]\[ M_{\text{final}} = \frac{M_{\text{initial}} \times V_{\text{initial}}}{V_{\text{final}}} \][/tex]
- Here, [tex]\( M_{\text{initial}} \)[/tex] is the initial molarity (concentration), [tex]\( V_{\text{initial}} \)[/tex] is the initial volume, and [tex]\( V_{\text{final}} \)[/tex] is the final volume after dilution.

4. Substitute the known values into the dilution formula:
[tex]\[ M_{\text{final}} = \frac{0.150 \, \text{M} \times 125.0 \, \text{mL}}{150.0 \, \text{mL}} \][/tex]

5. Perform the calculation:
[tex]\[ M_{\text{final}} = \frac{18.75 \, \text{M} \cdot \text{mL}}{150.0 \, \text{mL}} = 0.125 \, \text{M} \][/tex]

So, the new concentration of the NaCl solution after adding [tex]\( 25.0 \, \text{mL} \)[/tex] of water is [tex]\( 0.125 \, \text{M} \)[/tex].

- Final volume: [tex]\( 150.0 \, \text{mL} \)[/tex]
- Final concentration: [tex]\( 0.125 \, \text{M} \)[/tex]