Suppose L litres are required.
@ 40% it will contain 0.4L of the active ingredient.
Then total volume of mixture = L + 100 litres
and volume of active ingredient = 0.4L + 25 litres
The strength is (0.4L + 25)/(L + 100) = 30% = 0.3
(0.4L + 25) = 0.3*(L + 100)
0.4L + 25 = 0.3*L + 30
0.1L = 5
L = 50 litres.
10 percent added to 4.86 is 5.346.
4% added to $900 = $936
300.00
Answer: Take whatever volume of 60 percent solution you have, multiply that volume by 52 and then divide that amount by 8, this is how much water to add to get an 8% solution. ( or multiply by 13 and divide it in half, this is the same thing) Answer explained below. Think of 3 jars. The first has 60% solution, the next has just water, the third has 8% solution. So we want to know how much water to add. Now we need some equations. 60% solution is 60 units of something, and say we have a volume V of it. So the amount stuff in V is .6V. Just to clarify, the total volume of 60% liquid is V and let's say it is salt water. Then we have 60% of it is salt and the actual amount of salt we have is .6v. Now we are adding to the volume, but not adding salt. We add x liters to V so our total volume we add to get 8% is V+x. Now the 8% has (we use salt just to make this more concrete, but obviously cement would do the same or acid..bla bla bla) So the quantity of salt in our final solutin is .08(V+x), however, we only added water, so the amount of salt is the same. That means .6V=.08(V+x) so this is our equation! multiply by 100 to get rid of the decimals. We have 60V=8V+8x or 52V=8x so x=52V/8 That means for any given volume of water, we multiply the volume by 52 and divide by 8 to see how much water to add. Let's try it! Say V=8 Liters. I pick that since it should make the 8's cancel. So we have 8 liters of 60% salt solution. This mean we have .6(8) grams of salt, or 4.8 grams. Now we add 52 x/8 or 52 liters of water. Our total volume now is 52+8=60 liters and we did not add salt so we still have 4.8 grams. What percent solution is this? 4.8 grams/60 is .08% as desired so it works!
12.5%
10 liters.
4 litres
40.8 grams
50 gallons @ 3% must be added.
0.6 of a pint.
To determine the amount of 18% solution to add: Let x = volume of 18% solution to be added. 0.18x + 0.10(360) = 0.15(x + 360) Solving for x, you would need to add 75 ml of the 18% solution to the 360 ml of 10% solution to obtain a 15% solution.
7 liters of a 20% acid solution consists of 1.4 liters of acid (20% of the total volume) mixed with 5.6 liters of water (80% of the total volume). The amount of acid isn't going to change in the new solution. You are just going to add enough water to make it a 10% solution instead of a 20% solution. So it will be more dilute. That means that 1.4 liters of acid will represent 1/10 of the volume of the new solution. So the total volume of the new solution will be 10 x 1.4 or 14 liters. The amount of water in the new solution will be 14 - 1.4 = 12.6 liters. That is a difference of 12.6 - 5.6 = 7 liters from the amount of water you started with. So you need to add 7 liters of water to the original 20% solution to make it a 10% solution. This makes sense because if you double the amount of the mixture from 7 liters to 14 liters and the amount of acid is unchanged, the solution will be half as strong.
4.2 quarts
Let L be the liters to be added. Then (L) x (0.2) + (40 x 0.9) = (L + 40) x 0.6 0.2L + 36 = 0.6L + 24 36 - 24 = (0.6 - 0.2)L 12 = 0.4L L = 12/0.4 = 120/4 = 30 Liters
2 gallons.
0.6
Dissolve 15 g salt in 100 mL water.