# If 5.0 mL of a 1.25 M solution is diluted to 25.0 mL, what is the final molarity of the dilute...

## Question:

If 5.0 mL of a 1.25 M solution is diluted to 25.0 mL, what is the final molarity of the dilute solution?

## Molarity:

Molarity is a way to express concentration of solution. It is also known as molar concentration of solution. It can also defined as number of moles of solute per L of solution. So, it is expressed in mol/L.

Given Data

Initial molarity of the solution is 1.25 M

Initial volume of the solution is 5.0 mL.

Final volume of the solution is 25.0 mL.

Calculation

Final molarity of solution can be calculated by using below formula

{eq}{M_1}{V_1} = {M_2}{V_2} {/eq}

Where,

• {eq}{M_1} {/eq} is initial molarity of the solution.
• {eq}{V_1} {/eq} is initial volume of the solution.
• {eq}{M_2} {/eq} is final molarity of the solution.
• {eq}{V_2} {/eq} is final volume of the solution.

Using the above molarity formula, final volume of the solution can be calculated by substituting the known values in the formula as follows:

{eq}\begin{align*} 1.25\;M \times 5.0\;mL &= {M_2} \times 25.0\;mL\\ {M_2} &= \dfrac{{1.25\;M \times 5.0\;mL}}{{25.0\;mL}}\\ &= 0.25\;M \end{align*} {/eq}

Hence, the final molarity of the solution is 0.25 M.