SOLUTION: please help me solve this problem. A chemist has two solutions of HNO3. One has 40% concentration and the other has 25% concentration. How many liters of each solution must be mixe

Question 660804: please help me solve this problem. A chemist has two solutions of HNO3. One has 40% concentration and the other has 25% concentration. How many liters of each solution must be mixed to ob tain 57 liters of a 26% solution?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 40% solution needed
Let = liters of 25% solution needed
= liters of HN03 in 40% solution
= liters of HN03 in 25% solution
------------------------------------
(1)
(2)
-----------------
(1)
(1)
(1)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)

and, since
(2)
(2)
(2)
3.8 liters of 40% solution are needed
53.2 liters of 25% solution are needed
check:
(1)
(1)
(1)
(1)
(1)
OK

RELATED QUESTIONS
A chemist has two solutions of HNO3. One has a 40% concentration and the other has (answered by jorel555)

A chemist has two solutions for HNO3. One has 40% of concentration and the other has 25% (answered by richwmiller)

Please help me solve this problem. This is the last problem on my homework. Its hard for... (answered by rothauserc)

a chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25%... (answered by josgarithmetic)

A chemist has two solutions of H2s04. One has a 40% concentration and the other has a 25% (answered by Jeef Gorrdon)

a chemist has 2 solutions of HNO3. one has 40% concentrated and the other has 23%... (answered by DrBeeee)

A chemist has two solutions of HNO3. One has a 40% concentraiton and the other has a 25%... (answered by Edwin McCravy)

Hello. I would like some help solving this word problem. I'm really stuck. Can someone... (answered by josgarithmetic)

help I need help solving this word problem a chemist has two solutions of h2so4.... (answered by josgarithmetic,richwmiller)