The concentrated sulfuric acid with density of 1.84 g / cm3 and 98% mass fraction was diluted into 100 ml. the mass concentration of the substance was 2 mol / L and the density was 1.20 g / cm3 Find the volume of sulfuric acid needed, the volume of water needed?

The concentrated sulfuric acid with density of 1.84 g / cm3 and 98% mass fraction was diluted into 100 ml. the mass concentration of the substance was 2 mol / L and the density was 1.20 g / cm3 Find the volume of sulfuric acid needed, the volume of water needed?

First calculate the volume of sulfuric acid needed. Suppose x ml is needed. According to the amount of substance before and after dilution, there is an equation
X * 1.84 * 98% / 98 = 0.1 * 2, so x = 20 / 1.84 = 10.87ml
Second question: the mass of sulfuric acid required is 10.87 * 1.84 = 20g
The mass of diluted solution is 100 * 1.20 = 120g
Therefore, the mass of water to be added is 120-20 = 100g, and its volume is 100ml