How many grams of 10% sulfuric acid can be obtained from 150 g of 98% H2SO4 solution

Given:
ω2 (H2SO4) = 10%
m1 solution (H2SO4) = 150 g
ω1 (H2SO4) = 98%

Find:
m2 solution (H2SO4) -?

Solution:
1) Calculate the mass of sulfuric acid in the original solution:
m1 (H2SO4) = ω1 (H2SO4) * m1 solution (HH2SO4SO4) / 100% = 98% * 150/100% = 147 g;
2) Determine the mass of sulfuric acid in the final solution:
m2 (H2SO4) = m1 (H2SO4) = 147 g;
3) Calculate the mass of the final sulfuric acid solution:
m2 solution (H2SO4) = m2 (H2SO4) * 100% / ω2 (H2SO4) = 147 * 100% / 10% = 1470 g.

Answer: The mass of the H2SO4 solution is 1470 g.