Pehal and Ishaan were making 100g sugar solution with concentration by mass 20 percentage and 50 percentage respectively. Pehal added 20g of sugar in her solution whereas Ishaan evaporated 20g of water from his solution. Now the two solution were mixed to form a final solution. The concentration by mass of final solution is
28 percentage
45 percentage
40 percentage
60 percentage
Answers
20% of sugar solution in which Pehal added 20 g of sugars more.
Mass of the sugar before adding to solution = 20 g.
Mass of the sugar after adding to the solution is = 20 +20 = 40 g.
Hence, Mass of water in solution= 80 g.
Hence M_1= Total mass of solution= 80 g + 40 g = 120 g.
50% of sugar solution from which Ishan evaporated 20 g of water.
Mass of the sugar in the solution = 50 g, mass of water before evaporation= 50 g and mass of water after evaporation = 50 g - 20 g = 30 g.
Hence M_2 = Total mass of solution=50 g + 30 g = 80 g.
After mixing both the solution, total mass of sugar after the mixing of solutions, (M) = 40 g + 50 g = 90 g.
Therefore total mass of the final solution= M_1+M_2=120 g + 80 g = 200 g.
Mass percentage of sugar in final solution=\frac{M}{M_1+M_2}\times 100=\frac{90}{200}\times 100=45\%.
The final answer is the concentration by mass of final solution is 45%.