Water must be mixed with a 15% hydrochloric acid solution to dilute the concentration to 5%. How many liters of water should be added if we need 19 liters of the 5% solution? Round to the nearest tenth. Answer is 12.7 liters..cannot figure out equation to get 12.7 liters...keep coming up with 6.33333..ect. Cannot figure out how to check problem, with answer.

- anonymous

- schrodinger

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- Owlfred

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

- amistre64

h+w = 19 ; h = 19-w
h(.15) +w(1) = 19(.05)
..........................................
(19-w)(.15) +w(1) = 19(.05)
2.85 -.15w +w = 0.95
.85w = -1.9
w = -2.235..now where did i go wrong lol

- amistre64

is water 0 instead of 1?

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## More answers

- dumbcow

yes water is 0% concentration

- amistre64

(19-w)(.15) +w(0) = 19(.05)
2.85 -.15w = 0.95
-.15w = -1.9
w = 12.666......

- amistre64

we got hard water here kol

- anonymous

Your answer is very close, amistre64...

- anonymous

if we rounded it, it would get me 12.7liters..

- dumbcow

they prob rounded the answer

- amistre64

w*1 lol .....

- anonymous

Could either of you also explain how to check this problem with the answer?

- amistre64

well, by substituting it back into the original equation to see if it works out

- amistre64

amount(%) + amount(%) = total amount(%)

- dumbcow

(12.7)(.05) = (6.3)(.15) +0

- dumbcow

oops
(19)(.05) = (6.3)(.15)

- anonymous

I'll try amestre's equation now...if I don't come up with amestre's answer...I'll be coming back to this site definitely..maybe within the hour. :)

- anonymous

amistre64, could you explain why you set up your equation the way you did, in relation to the problem? How does (19-w)(.15)+w(0) relate to the problem? Sorry for asking such dumb questions...but it's late and I relate to words better than just numbers..

- amistre64

well....
we know that we want a mix of hydroacid and water that equals 19 liters; that restricts us to: h+w = 19.
It is easier to solve an equation when everything is in one variable; so since we want the amount of water, lets get h in terms of w
h = 19 liters - water amount (h=19-w)

- amistre64

h(15%) is the strength of the hydroacid
(19-w)(.15) is stateing the same thing but using terms in water...

- amistre64

the rest should be self explanatory id assume

- anonymous

I'll look at the equation again,see if I can get my lightbulb on...

- amistre64

:) good luck

- anonymous

At any rate, I've saved your formula in a document amistre64, in case I can't figure it out tonight...:)

- amistre64

itll make more sense after a 4course meal :)

- anonymous

I don't think I've ever had one of those...:P

- anonymous

The light-bulb is starting to spark...but it's not on quite yet..

- anonymous

Okay, listening to some of Bach's music has helped turn the light-bulb on...and now I'm wondering how it can be this simple...:P

- anonymous

Thanks for your help, guys...I'll definitely be using this site more often from now on, with me majoring in nursing at the moment. :)

- amistre64

youre welcome :)

- anonymous

Hold on, where did you get the 2.85 in your equation, amistre64?

- anonymous

dumbcow, do you know where amistre64's 2.85 came from, in his equation?

- anonymous

Could somebody explain this equation step by step, all the way through to the end? Don't assume something is self-explanatory...it's never like that with me.

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