SOLUTION: A chemistry experiment calls for one liter of sulfuric acid at a 15% concentration, but the supply room only stocks sulfuric acid in concentrations of 10% and 35%. How many liter

Algebra.Com
Question 1132751: A chemistry experiment calls for one liter of sulfuric acid at a 15% concentration, but the supply room only
stocks sulfuric acid in concentrations of 10% and 35%.
How many liters of each should be mixed to give the acid needed for the experiment?
How many liters should be mixed to give two liters at a 15% concentration?

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
x milliliter of 35% sulfuric acid
1000-x milliliters of 10% sulfuric acid


Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Here is an alternative to the traditional algebraic method for solving problems like this involving a mixture of two ingredients.

The desired concentration is 15%; the two ingredients are 10% and 35%.

Think of starting with some amount of the 10% and adding the 35%, stopping when the desired 15% concentration is achieved. The question then is when to stop adding the higher concentration acid.

(1) 15% is 1/5 of the way from 10% to 35%. (15%-10% = 5%; 35%-10% = 25%; 5/25 = 1/5)

(2) That means 1/5 of the mixture needs to be the 35% ingredient.

ANSWER: 1/5 of the liter is the 35% acid; the other 4/5 of the liter is the 10% acid.

RELATED QUESTIONS

A chemistry experiment calls for a 40% hydrochloric acid solution. If the lab supply room (answered by Alan3354)
In chemistry class, Todd Corbin has 1 liter of a 20% sulfuric acid solution. How much of... (answered by jorel1380)
1.)A student assistant for a chemistry, department was instructed to prepare 5 liters of... (answered by rfer)
Gretchen is conducting a science experiment. The formula calls for 3/4 cups of sulfuric... (answered by rfer)
Blair needs a 25% acid solution for an experiment in class, but unfortunately, he only... (answered by josmiceli)
Dmitri needs 7 liters of a 24% solution of sulfuric acid for a research project in... (answered by josmiceli)
Through(3,4) perpendicular to y =-3x+2 Dmitri needs 5 liters of a 43% solution of... (answered by ewatrrr)
Dmitri needs 9 liters of a 57% solution of sulfuric acid for a research project in... (answered by Alan3354)
1- Arielle needs 9 liters of a 65% solution of sulfuric acid for a research project... (answered by lwsshak3)