SOLUTION: You have 4L of an 90% aqueous solution of hydrochloric acid. You want 1L of a 25% solution. How much of the stock solution do you need to use?

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Question 834596: You have 4L of an 90% aqueous solution of hydrochloric acid. You want 1L of a 25% solution. How much of the stock solution do you need to use?
Found 2 solutions by Edwin McCravy, richwmiller:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
You have 4L of an 90% aqueous solution of hydrochloric acid. You want 1L of a 25% solution. How much of the stock solution do you need to use?
You are going to add water to the stock solution to make 1 liter.
Make this chart:

                 |         |           | Liters of
                 |Liters of|   Percent | pure acid 
                 | liquid  |    Acid   | contained
---------------------------------------------------
stock solution   |   x     |  90%=0.90 |   0.90x           
---------------------------------------------------
water            |  1-x    |   0%=0.00 | 0.00(1-x)  
===================================================
final solution   |   1     |  25%=0.25 |  0.25(1)

        %22%22%2B%22%22%22%22=%22%22
 
                             0.90x%22%22%2B%22%220.00%281-x%29%22%22=%22%220.25%281%29

                                  0.90x%22%22%2B%22%22%220%22%22%22=%22%220.25

                                      0.90x%22%22=%22%220.25

                                      0.90x%2F0.90%22%22=%22%220.25%2F0.90

                                          x%22%22=%22%2225%2F90

                                          x%22%22=%22%225%2F18

Answer:  5%2F18ths of a liter of stock solution, and 13%2F18ths of a liter of water.

Edwin


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
point of view of acid
.9x=.25(x+y),
x+y=1
x=0.277778 acid , y=0.722222 water
check
.9(0.277778)=.25(1),
ok

point of view of water
.1(x)+y=.75*(x+y),
x+y=1
x=0.277778 acid , y=0.722222 water
check
.1(0.277778)+0.722222=.75*(1)
ok