Mixed 10 g of 10% and 300 g of 20% potassium chloride solutions. Calculate the mass fraction of KCl

Mixed 10 g of 10% and 300 g of 20% potassium chloride solutions. Calculate the mass fraction of KCl in the resulting solution

Given:
m1 solution (KCl) = 10 g
ω1 (KCl) = 10%
m2 solution (KCl) = 300 g
ω2 (KCl) = 20%

Find:
ω3 (KCl) -?

Solution:
1) m1 (KCl) = ω1 (KCl) * m1 solution (KCl) / 100% = 10% * 10/100% = 1 g;
2) m2 (KCl) = ω2 (KCl) * m2 solution (KCl) / 100% = 20% * 300/100% = 60 g;
3) m3 (KCl) = m1 (KCl) + m2 (KCl) = 1 + 60 = 61 g;
4) m3 solution (KCl) = m1 solution (KCl) + m2 solution (KCl) = 10 + 300 = 310 g;
5) ω3 (KCl) = m3 (KCl) * 100% / m3 solution (KCl) = 61 * 100% / 310 = 19.68%.

Answer: The mass fraction of KCl is 19.68%.