Explanation:
The number of moles of solute present in liter of solution is defined as molarity.
Mathematically, Molarity = [tex]\frac{\text{no. of moles}}{\text{Volume in liter}}[/tex]
Also, when number of moles are equal in a solution then the formula will be as follows.
[tex]M_{1} \times V_{1} = M_{2} \times V_{2}[/tex]
It is given that [tex]M_{1}[/tex] is 8.00 M, [tex]V_{1}[/tex] is 7.00 mL, and [tex]M_{2}[/tex] is 0.80 M.
Hence, calculate the value of [tex]V_{2}[/tex] using above formula as follows.
[tex]M_{1} \times V_{1} = M_{2} \times V_{2}[/tex]
[tex]8.00 M \times 7.00 mL = 0.80 M \times V_{2}[/tex]
[tex]V_{2} = \frac{56 M. mL}{0.80 M}[/tex]
= 70 ml
Thus, we can conclude that the volume after dilution is 70 ml.