anonymous
  • anonymous
Who wants a medal? How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid? a. 130 gal c. 13 gal b. 125 gal d. None of these
Chemistry
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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JoannaBlackwelder
  • JoannaBlackwelder
I would use the idea of a mass balance of the acid.
JoannaBlackwelder
  • JoannaBlackwelder
For example, the amount of acid in the 50 gallons of a 24% acid solution would be 50*.24=12 gallons of acid.
JoannaBlackwelder
  • JoannaBlackwelder
Make sense so far?

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More answers

anonymous
  • anonymous
yes
JoannaBlackwelder
  • JoannaBlackwelder
Sweet. Since we don't have the volume of the 60% acid solution, I will call that x.
JoannaBlackwelder
  • JoannaBlackwelder
Can you write an expression that shows the volume of acid of the 60% acid solution?
anonymous
  • anonymous
0.5 = 0.6x + (50*0.24) I have a feeling that this isn't right.
JoannaBlackwelder
  • JoannaBlackwelder
That is close. The addition side looks good, but what about the volume of the combined solution?
JoannaBlackwelder
  • JoannaBlackwelder
@Catseyeglint911?
anonymous
  • anonymous
sorry I had to step a way for a bit
JoannaBlackwelder
  • JoannaBlackwelder
No worries :)
anonymous
  • anonymous
(0.5*50) = 0.6x + (50*0.24) Is this what you meant?
JoannaBlackwelder
  • JoannaBlackwelder
Closer. :) The volume of the 24% solution is 50 gals and the 60% acid solution has volume x gals, so wouldn't the combined 50% acid solution have more volume that 50 gals?
anonymous
  • anonymous
So we would have to use two variables since we don't know the number of gallons need of the 60% solution nor do we know the number of gallons of the final solution?
JoannaBlackwelder
  • JoannaBlackwelder
We could, but we don't have to. Since we know we are adding two volumes together and one volume is 50 gallons and we defined the second volume to be x gallons. So the combined volume is 50+x gallons.
anonymous
  • anonymous
(x+50) = 0.6 + (50*0.24) It's still wrong isn't it?
JoannaBlackwelder
  • JoannaBlackwelder
Last time you put (0.5*50) = 0.6x + (50*0.24) which was closer. The only thing you needed to change was (0.5*[50+x]) = 0.6x + (50*0.24)
JoannaBlackwelder
  • JoannaBlackwelder
The 50 to a 50+x
JoannaBlackwelder
  • JoannaBlackwelder
Do you follow me?
anonymous
  • anonymous
Ooohhh! I see now. :D
JoannaBlackwelder
  • JoannaBlackwelder
:D
JoannaBlackwelder
  • JoannaBlackwelder
Can you solve for x?
anonymous
  • anonymous
(0.5*[50+x]) = 0.6x + (50*0.24) 25 + 0.5x = 0.6x + 12 13 + 0.5x = 0.6x 13 = 0.1x 130 = x right?
JoannaBlackwelder
  • JoannaBlackwelder
Awesome! :)
anonymous
  • anonymous
Thank you so much. :)
JoannaBlackwelder
  • JoannaBlackwelder
No worries

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