SOLUTION: A chemist mixes distilled water with a 90% solution of sulfuric acid to produce a 50% solution. If 5 liters of distilled water is used, how much 50% solution is produced?

Question 100199This question is from textbook
: A chemist mixes distilled water with a 90% solution of sulfuric acid to produce a 50% solution. If 5 liters of distilled water is used, how much 50% solution is produced? This question is from textbook

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Let x=amount of 50% solution that is produced
Then x-5=amount of 90% solution that was mixed with the distilled water
(1) Pure sulfuric acid in the 90% solution=0.90(x-5)
(2) Pure sulfuric acid in the distilled water=0
(3) Pure sulfuric acid in the final mixture=0.50x
Now we know that (1)+(2)=(3). So our equation to solve is:
0.90(x-5)=0.50x get rid of parens
0.90x-4.5=0.50x subtract 0.90x from both sides
0.90x-0.90x-4.5=0.50x-0.90x collect like terms
-4.5=-0.40x divide both sides by -0.40
x=11.25 liters -------------amount of 50% solution produced
CK
0.90*(11.25-5)=0.50*(11.25)
0.90(6.25)=5.625
5.625=5.625

Hope this helps---ptaylor

RELATED QUESTIONS
A chemist mixes distilled water with a 90 % solution of sulfuric acid to produce a 50%... (answered by jorel1380)

A chemist mixes distilled water with a 90% solution of sulfuric acid to produce a 50%... (answered by josgarithmetic)

A chemist mixes distilled water with a 85 percent solution of sulfuric acid to produce a... (answered by TimothyLamb)

A Chemist mixes distilled water with 70% solution of sulfuric acid to produce a 30%... (answered by josmiceli)

Can you please help me solve this? A chemist wants to mix distilled water with a 75%... (answered by ankor@dixie-net.com)

A student mixes distilled water with a 90% solution of acid to produce a 50% solution. If (answered by stanbon)

how many liters of distilled water must be added to 80% liters of 60% acid solution to... (answered by Alan3354)

How many ounces of 35% solution of sulfuric acid(and distilled water) must be mixed with... (answered by checkley77)

A 96% solution of sulfuric acid is to be diluted with distilled water to make a 90%... (answered by ankor@dixie-net.com)