A solution of 490 H2SO4 by mass has a density of 139 gcm3 at

A solution of 49.0% H2SO4 by mass has a density of 1.39 g/cm3 at 293 K. A 22.7 cm3 sample of this solution is mixed with enough water to increase the volume of the solution to 99.1 cm3 . Find the molarity of sulfuric acid in the obtained solution.

Solution

initial molarity of H2SO4 formula:

molarity = mass % x 10 x density / molar mass

               = 49 x 10 x 1.39 / 98

               = 6.95 M

C1   = 6.95 M

V1 = 22.7 cm^3

C2 = ?

V2 = 99.1 cm^3

C1 V1 = C2 V2

6.95 x 22.7 = C2 x 99.1

C2 = 1.59 M

molarity = 1.59 M