Answer:
Solution:
1. Calculate the total volume of the two solutions:
Volume 1 = 100 cm3
Volume 2 = 50 cm3
Total Volume = 150 cm3
2. Calculate the total mass of each solution:
Mass of Solution 1 = (Volume x Density) x Mass Fraction HCl
= (100 cm3 x 1.180 g/cm3) x 0.36
= 43.2 g
Mass of Solution 2 = (Volume x Density) x Mass Fraction HCl
= (50 cm3 x 1.100 g/cm3) x 0.20
= 11 g
3. Calculate the total mass of the two solutions combined:
Total Mass = 43.2 g + 11 g
= 54.2 g
4. Calculate the mass fraction of hydrochloric acid in the new solution:
Mass Fraction HCl = Total Mass of HCl / Total Mass of Solutions
= 54.2 g / (43.2 g + 11 g)
= 0.55
Therefore, the mass fraction of hydrochloric acid obtained by merging 100 cm3 of a solution of hydrochloric acid with a mass fraction of HCl 36%, and 50 cm3 of a solution of hydrochloric acid with a mass fraction of HCl 20%, is 0.55.