Can you please show me the solution to this question in detail? I need it to be
ID: 477614 • Letter: C
Question
Can you please show me the solution to this question in detail?
I need it to be step by step solution, please.
Thank You In Advance =]
(11) Densities of solutions of sodium h oxide and water at 20 oC are given by the equation: p 1.003 1.06 NaOH where p is the density of the solution in cm (grams of solution per cm3 of solution) and wNaoH is the weight fraction of sodium hydroxide. The equation is valid for sodium hydroxide weight fractions less than or equal to 0.5. 100 liters of a solution that has a sodium hydroxide weight fraction of 0.5 is to be diluted with pure water until the weight fraction of NaOH is equal to 0.2. What volume of water must be added and what will be the volume of the final mixture? Express both volumes in liters.Explanation / Answer
Treat the problem as a simple example of dilution problem. We have V1 = 100 L of S1 = 0.5 wt.fr solution which we will dilute with pure water to a solution having S2 = 0.2 wt.fr. Use the dilution law:
V1*S1 = V2*S2 where V2 = volume of the diluted solution.
Plug in values:
(100 L)*(0.5 wt.fr) = V2*(0.2 wt.fr)
===> V2 = (100 L)*(0.5 wt.fr)/(0.2 wt.fr) = 250 L
The final volume of the diluted solution is 250 L (ans).
The volume of pure water added = (250 L – 100 L) = 150 L (ans).