Practice problems

# Question
1 How many milliliters of water should be added to 210 ml of a 86 % (w/v) solution to prepare 4 % w/v solution?
2 If 400 ml of a 55 % v/v solution is diluted to 900 ml , what is the percent strength of the diluted solution?
3 If 850 ml of a 1 : 286 (w/v) solution is diluted to 1400 ml, what is the ratio strength of the new solution?
4 If 34 ml of a 10.00 % nasal spray was diluted with 2 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 33 % elixir can be prepared from 20 ml of a 65 % elixir?
6 If a cough syrup contains 17 mg of a drug in each teaspoonful, how many mg of drug needs to be added to a 60 ml container of the syrup to make the concentration 7 mg/ml?
7 What is the percentage strength (v/v) of an alcohol mixture that has a mix of 350 ml of 45 % alcohol, 100 ml of 75 % alcohol, and 150 ml of 10 % alcohol?
8 A pharmacist combines 1 pints of a 5 % w/v povidone-iodine solution with 4 quarts of 10 % w/v povidone-iodine solution. What is the strength of the resulting solution?
9

How many milliliters of 3 % and a 14 % solution do you need to prepare 2 gallon of 12 % solution?

10

What proportion of 20 % zinc oxide and 50 % zinc oxide do you need to make 35 % zinc oxide?

11

How many grams of 3 % hydrocortisone cream be mixed with 780 g of 0.25 % hydrocortisone cream to make a 0.50 % hydrocortisone cream?

12

How many milliliters of water should be added to 2.25 L of 1: 3300 w/v solution to make a 1: 5100 w/v solution?

13

How many grams of a 5.00 % w/w benzocaine ointment can be prepared by diluting 1 lb of a 30 % w/w benzocaine ointment with white petrolatum?

14

How many milliliters of a 20 % w/v stock solution benzalkonium chloride should be used in preparing the following prescription?

Benzalkonium chloride solution 350 ml
Make a solution such that
10 ml diluted to 1 L equals a 1: 5200 w/v solution
Sig : 10 ml diluted to a liter for external use

15

How many milliliters of 85 % (w/w) lactic acid with a specific gravity of 1.21 be used to prepare 110 ml of 64 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 400 ml of water, 950 ml of glycerin having a specific gravity of 1.25, and 1400 ml of alcohol having a specific gravity of 0.81?

17

How many milliliters of a syrup having a specific gravity of 1.55 should be mixed with 2500 mL of a syrup having a specific gravity of 1.11 to obtain a product having a specific gravity of 1.13?

Answers

The Answer to question 1 is: 4305.00 ml

The Answer to question 2 is: 24.44 % v/v

The Answer to question 3 is: 1 : 471

The Answer to question 4 is: 9.44 %

The Answer to question 5 is: 39.39 ml

The Answer to question 6 is: 216.00 mg

The Answer to question 7 is: 41 % v/v

The Answer to question 8 is: 9.44 % w/v

The Answer to question 9 is: 6193.64 ml of 14 % , 1376.36 ml of 3 %

The Answer to question 10 is: 1 : 1

The Answer to question 11 is: 78.00 grams

The Answer to question 12 is: 1227.30 ml

The Answer to question 13 is: 2724.00 grams

The Answer to question 14 is: 33.65 ml

The Answer to question 15 is: 68.45 ml

The Answer to question 16 is: 0.99

The Answer to question 17 is: 119.05 ml