- anonymous

Please help...........
Suppose we start with unlimited supplies of a 20% h2so4 solution and of a 50% h2so4 solution. We combine x liters of the first with y liters of the second to produce 7 liters of a 40% h2so4 solution. What does x equal?

- katieb

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- welshfella

work in masses of pure sulphuric acid
the mass of acid in 40% solution is 7 * 10 * 40 = 2800g

- anonymous

2.8?

- welshfella

x liters of 20% contains 200x g
y liters of 50% = 500y g

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- welshfella

so
200x + 500y = 2800

- anonymous

yea

- anonymous

whats next

- welshfella

now we need to find y in terms of x. Note that the 50% solution i s 5/2 = 2.5 times as strong as the 20% So y liters of 50% = how many liters of 20%?

- anonymous

where did u get the 5/2?

- welshfella

the ratio of 50/20 = 2/2

- welshfella

* 5/2

- anonymous

oh okay

- welshfella

so y liters of 50% = 2.5x liters of 20%

- anonymous

yea

- welshfella

200x + 500*2.5x = 2800
solve for x

- anonymous

1.93?

- welshfella

yes

- anonymous

hmmmm it's supposed to be 2.33333333

- welshfella

oh
yes I've gone wrong somewhere

- welshfella

something wrong in my logic somewhere

- dumbcow

set up 2 equations...
x + y = 7
20x + 50y = (40)(7)

- welshfella

yep thats the way

- anonymous

hmmm and then plug it in huh? y=7-x

- dumbcow

yes

- anonymous

got it thanx

- welshfella

yea thats an easier way to do it. I still can't see what i did wrong . Worrying !

- welshfella

i see now!

- welshfella

200x + 500y = 2800
was correct
then next step was to replace y with 7 - x

- welshfella

- that is y in tems of x.

- welshfella

I had a mental aberration!

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