xzhmhrq5ds
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

You want to determine the concentration when 93 mL of a 2.03 M KF solution is diluted by adding 3920 mL of [tex]\(H_2O\)[/tex].

[tex]\[
\begin{array}{c}
M_1 = 2.03 \, \text{M} \quad V_1 = 93 \, \text{mL} \\
M_2 = ? \, \text{M} \quad V_2 = 4013 \, \text{mL} \\
M_1 V_1 = M_2 V_2
\end{array}
\][/tex]

What is the molarity of the diluted solution?

Sagot :

GinnyAnswer
Sure, let's solve this step by step.

We are given the initial molarity [tex]\( M_1 \)[/tex] and volume [tex]\( V_1 \)[/tex] of a KF solution, and the final volume [tex]\( V_2 \)[/tex] after dilution. We need to determine the final molarity [tex]\( M_2 \)[/tex].

### Given Data:
- Initial molarity ([tex]\( M_1 \)[/tex]): 2.03 M
- Initial volume ([tex]\( V_1 \)[/tex]): 93 mL
- Final volume ([tex]\( V_2 \)[/tex]): 93 mL + 3920 mL = 4013 mL

### Formula:
To find the final molarity after dilution, we use the dilution formula:
[tex]\[ M_1 \times V_1 = M_2 \times V_2 \][/tex]

### Step-by-Step Solution:
1. Substitute the given values into the formula:
[tex]\[ 2.03 \times 93 = M_2 \times 4013 \][/tex]

2. Simplify and solve for [tex]\( M_2 \)[/tex]:
[tex]\[ M_2 = \frac{2.03 \times 93}{4013} \][/tex]

3. Calculate the numerator:
[tex]\[ 2.03 \times 93 = 188.79 \][/tex]

4. Divide by the final volume:
[tex]\[ M_2 = \frac{188.79}{4013} \approx 0.04704460503364066 \][/tex]

### Result:
The molarity of the diluted solution is approximately:
[tex]\[ 0.0470 \text{ M} \][/tex]

Therefore, the molarity of the diluted solution is [tex]\( 0.0470 \text{ M} \)[/tex].
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.