Question

if 251 ml of a 2.25 m sucrose solution is diluted to 750.0 ml, what is the molarity of the diluted solution? express the molarity in moles per liter to three significant figures. view available hint(s) mf = m

Explanation:

Step1: Identify the dilution - formula

The formula for dilution is $M_1V_1 = M_2V_2$, where $M_1$ and $V_1$ are the initial molarity and volume, and $M_2$ and $V_2$ are the final molarity and volume.

Step2: Convert volumes to liters

$V_1=251\ mL = 0.251\ L$ and $V_2 = 750.0\ mL=0.7500\ L$, $M_1 = 2.25\ M$.

Step3: Rearrange the formula to solve for $M_2$

$M_2=\frac{M_1V_1}{V_2}$.

Step4: Substitute the values

$M_2=\frac{2.25\ M\times0.251\ L}{0.7500\ L}$.
$M_2=\frac{0.56475}{0.7500}\ M$.
$M_2 = 0.753\ M$.

Answer:

$0.753$