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A scientist has two acid solutions: Artesia, which is a 70% acid solution, and Borromeo, which is a 20% acid solution.

(a) Find the amount of Artesia (in mL) that must be added to 500 mL of Borromeo order to produce a 60% acid solution.

(b) Find the amount of Artesia and Borromeo (in mL) that can be combined in order to form a 100 mL solution that is $55\%$ acid.

(c) Does there exist a combination of Artesia and Borromeo that is 80% acid?

 

Please help! thank you so much! ✪ ω ✪

 Oct 10, 2020
edited by Guest  Oct 10, 2020
 #1
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a ) Let the volume required be v .

v x .7 + 500 x .2 / ( v + 500 ) = .7

.2 v + 250 = .6 v + 180

.1 v = 200

v = 2000 mL

 

b )

Let the volume of solution Artesia  required be v . The volume of solution of Borromeo required will be 100 - v

v x .7 + ( 100 - v ) x .2 / 100 = .55

.6 v + 20 - .7 v = 55

.5 v = 20

v = 40 mL

volume of solution Borromeo = 60 mL .

 

c )

It is not possible because 90 % is more than 70 % the concentration of solution Artesia . Any mixture will have concentration less than 70 % .

 Oct 10, 2020
 #2
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tThis is my explanation in image form. It has been explained clearly. 

 Oct 17, 2020

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