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Answer :

Answer

0.750 M

Explanation

Given:

Initial volume, V₁ = 15.0 mL

Initial molarity, M₁ = 2.00 M

Final volume, V₂ = 40.0 mL

What to find:

The molarity (M₂) of the dilute solution.

Step-by-step solution:

The molarity (M₂) of the dilute solution can be determined using the dilution formula.

[tex]M_1V_1=M_2V_2[/tex]

Substitute the values of the given parameters into the formula, we have

[tex]\begin{gathered} 2.00M\times15.0mL=M_2\times40.0mL \\ \\ M_2=\frac{2.00M\times15.0mL}{40.0mL} \\ \\ M_2=0.750\text{ }M \end{gathered}[/tex]

Thus, the molarity (M₂) of the dilute solution is 0.750 M