You have 220mL of a 10% solution (w/v). You need to prepare a 1:200 solution. Howmuch diluent will you add to the stock solution?
Question
You have 220mL of a 10% solution (w/v). You need to prepare a 1:200 solution. How much diluent will you add to the stock solution?
Solution
To solve this problem, you first need to understand what a 1:200 dilution means. This means that 1 part of the solution is diluted in 199 parts of the diluent.
-
First, calculate the amount of solute in the original solution. Since it's a 10% w/v solution, this means there are 10g of solute in every 100mL of solution. So, in 220mL of solution, there are (10g/100mL)*220mL = 22g of solute.
-
Now, you need to figure out how much of the 1:200 solution this 22g of solute can make. Since 1 part of the 1:200 solution is the solute, this means the 22g of solute can make 22g * 200 = 4400g of the 1:200 solution.
-
Convert this mass to volume. Assuming the density of the solution is approximately 1g/mL (which is a reasonable assumption for many liquids), this means you need to prepare 4400mL of the 1:200 solution.
-
Subtract the volume of the original solution from this. 4400mL - 220mL = 4180mL.
So, you need to add 4180mL of diluent to the 220mL of the 10% solution to prepare a 1:200 solution.
Similar Questions
You have 900mL of a 1:400 (w/v) stock solution. How would you prepare 1 gallon of a1:2000 (w/v) solution?
4. A solution is 40% alcohol. How much pure alcohol must be added to 200 ml of the solution to make it 50% alcohol?
How much 7.5% Powerade stock solution (V1) do you need to make up 1mL (V2) of a 20mg/mL (C2) Powerade solution and how much water do you need
How much primary antibody should be added to prepare 14 mL solution of primary antibody with a dilution of 1:500?14 µL2.8 µL1.4 µL28 µL
If you were making a 1:10 dilution of a 100mM NaCl solution what will be its final concentration?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.