# math

posted by .

a drug is supplied as a 20 mg/ml solution in a 50 ml vial. you need to make 15 ml of a 10 mg/ml solution. how much concentrate and how much diluent are needed to obtain the desired final volume?

• math -

you need x ml of solution, and 15-x ml of water (0 mg/ml), so

20x + 0 = 10*15
x = 7.5

Since the concentration is being reduced by a factor of 2, the volume needs to be increased by that factor.

2 * 7.5 = 15

## Similar Questions

1. ### chemistry

How much of a 100mM solution do I need to add to a 2.5mM solution to make a solution with a final concentration of 10nM?
2. ### Chemistry

You need 3.0-L of 0.13 M salt solution. All you can find is 0.40 M salt solution. How much of that solution will you need in order to make your desired solution (in liters)?
3. ### Math

Alyssa is a chemist with Gemco Pharmaceutical Company. She needs to prepare 12 ounces of 9% hydrochloric acid solution. The only solution she currently has available are 4% and 12% hydrocholoric acid. How much should she use of each …
4. ### math

A pharmacist wishes to mix a solution that is 6% Minocidil. She has on hand 60 ml of a 3% solution and wishes to add some 8% solution to obtain the desired 6% solution. How much 8% solution should she add?
5. ### Thermodynamics

Streptomycin, an antibiotic, is produced on a large scale in the United States. The purified solution contains 50 wt% streptomycin water. Preparation of 500 mL intravenous (IV) drip solution bag requires addition of diluent and preservative. …
6. ### Chem

I need help please! You have been given 40ml of a 0.6M solution of NaCl and 40ml of a 0.1M solution of KCl. You are also given as much diluent as you need. Show all your work and indicate how you would make 40ml of a single solution …
7. ### math

A patient needs 45% dextrose 100ml The pharmacy has only 70% dextrose 500ml. a) how much concentrate will you need b) how much diluent
8. ### chemistry

You need 715 mL of a 45% alcohol solution. On hand, you have a 55% alcohol mixture. How much of the 55% alcohol mixture and pure water will you need to obtain the desired solution?
9. ### Solution Making

Suppose you start with a 5X solution A, and you want a final volume of 10ul of 1X solution. How much Solution A do you need?
10. ### Math

Pydrotinces comes in 50 mg/mL. A child is to get 2 mg. The volume in a miniscule of 0.04mL, which is really had to measure. Prepare a dilution so that final concentration is 5mg/mL. How much diluent well you need is the original products …

More Similar Questions