how many ml of 3% acetic acid must be mixed with 15% acetic acid to give 2500ml of 10% acetic acid?

Answer 1

Set up the equation like this :

x mL of 3% + (2500 - x) mL of 15% = 2500 mL of 10%

Then we can say that :

3x + 15(2500 - x) = 2500(10)

3x + 37500 - 15x = 25000

-12x = -12500

x = 1041.7

Thus, 2500 - x = 2500 - 1041.7 = 1458.3

So you need 1041.7 mL of 3% added to 1458.3 mL of 15%.

Answer 2

Let x = the number of mL of 15% acetic acid to be used.
Since the total solution must be 2500 mL, we can use (2500 - x) for the other part. So (2500 - x) = the total number of mL of 3% acetic acid to be used.

~ 15% Acetic Acid Solution ~
(A) x = number of mL of 15% solution to be used
(B) 15% = percent of pure acetic acid
(C) 0.15x = number of mL of pure acetic acid

~ 3% Acetic Acid Solution ~
(A) (2500 - x) = number of mL of 3% solution to be used
(B) 3% = percent of pure acetic acid
(C) 0.03x = number of mL of pure acetic acid

~ Final 10% Acetic Acid Solution ~
(A) 2500 = number of mL of final 10% solution
(B) 10% = percent of pure acetic acid
(C) 0.10(2500) = number of mL of pure acetic acid

Now, from the information that we figured above, we write (and solve) an equation using the entries labeld (C):

0.15x + 0.03(2500 - x) = 0.10(2500) --- Multiply 0.03 by (2500 -x) and multiply 0.10 by 2500...
0.15x + 75 - 0.03x = 250 --- Combine like terms (0.15x - 0.03x)...
0.12x + 75 = 250 --- Subtract 75 from both sides
0.12x = 175 --- Divide both sides by 0.12
x = 1458 and 1/3 or 1458.33 (repeating 3)

If x = 1458.33, then 2500 - 1458.33 = 1041.67. Thus, you need 1458.33 mL of 15% acetic acid solution and 1041.67 mL of 3% acetic acid solution to make 2500 mL of 10% acetic acid solution.

Answer 3

Just remember:

Initial concentration X Initial volume = Final concentration X Final volume

Therefore, Final volume = (Initial concentration X Initial volume)/Final concentration

Good luck

Answer 4

2083.3 ml of 3%
416.7 ml of 15%

Answer 5

x+y=2500
(.03x+.15y)/(x+y)=.1
(.03(2500-y)+.15y)/2500=.1
.03(2500-y)+.15y=250
75-.03y+.15y=250
.12y=175
y=175/.12=1458ml of 15%
2500-1458=1042ml of 3%