Practice problems

# Question
1 How many milliliters of water should be added to 260 ml of a 32 % (w/v) solution to prepare 5 % w/v solution?
2 If 890 ml of a 80 % v/v solution is diluted to 1400 ml , what is the percent strength of the diluted solution?
3 If 955 ml of a 1 : 204 (w/v) solution is diluted to 2100 ml, what is the ratio strength of the new solution?
4 If 15 ml of a 0.90 % nasal spray was diluted with 28 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 22 % elixir can be prepared from 65 ml of a 89 % elixir?
6 If a cough syrup contains 11 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 10 mg/ml?
7 What is the percentage strength (v/v) of an alcohol mixture that has a mix of 250 ml of 40 % alcohol, 175 ml of 75 % alcohol, and 200 ml of 20 % alcohol?
8 A pharmacist combines 10 pints of a 5 % w/v povidone-iodine solution with 1 quarts of 10 % w/v povidone-iodine solution. What is the strength of the resulting solution?
9

How many milliliters of 7 % and a 13 % solution do you need to prepare 2 gallon of 10 % solution?

10

What proportion of 5 % zinc oxide and 55 % zinc oxide do you need to make 20 % zinc oxide?

11

How many grams of 4 % hydrocortisone cream be mixed with 640 g of 0.5 % hydrocortisone cream to make a 1.00 % hydrocortisone cream?

12

How many milliliters of water should be added to 4.50 L of 1: 800 w/v solution to make a 1: 8600 w/v solution?

13

How many grams of a 9.00 % w/w benzocaine ointment can be prepared by diluting 1 lb of a 35 % w/w benzocaine ointment with white petrolatum?

14

How many milliliters of a 21 % w/v stock solution benzalkonium chloride should be used in preparing the following prescription?
℞
Benzalkonium chloride solution 330 ml
Make a solution such that
10 ml diluted to 1 L equals a 1: 3700 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 390 ml of 58 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 200 ml of water, 1350 ml of glycerin having a specific gravity of 1.25, and 1200 ml of alcohol having a specific gravity of 0.81?

17

How many milliliters of a syrup having a specific gravity of 1.39 should be mixed with 7000 mL of a syrup having a specific gravity of 1.28 to obtain a product having a specific gravity of 1.30?

Answers

The Answer to question 1 is: 1404.00 ml

The Answer to question 2 is: 50.86 % v/v

The Answer to question 3 is: 1 : 449

The Answer to question 4 is: 0.31 %

The Answer to question 5 is: 262.95 ml

The Answer to question 6 is: 468.00 mg

The Answer to question 7 is: 43 % v/v

The Answer to question 8 is: 5.83 % w/v

The Answer to question 9 is: 3785.00 ml of 13 % , 3785.00 ml of 7 %

The Answer to question 10 is: 7 : 3

The Answer to question 11 is: 106.67 grams

The Answer to question 12 is: 43875.00 ml

The Answer to question 13 is: 1765.56 grams

The Answer to question 14 is: 42.47 ml

The Answer to question 15 is: 219.93 ml

The Answer to question 16 is: 1.04

The Answer to question 17 is: 1555.56 ml