Practice problems

# Question
1 How many milliliters of water should be added to 140 ml of a 88 % (w/v) solution to prepare 26 % w/v solution?
2 If 460 ml of a 55 % v/v solution is diluted to 1400 ml , what is the percent strength of the diluted solution?
3 If 840 ml of a 1 : 238 (w/v) solution is diluted to 2400 ml, what is the ratio strength of the new solution?
4 If 36 ml of a 0.70 % nasal spray was diluted with 14 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 13 % elixir can be prepared from 45 ml of a 89 % elixir?
6 If a cough syrup contains 44 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 9 mg/ml?
7 What is the percentage strength (v/v) of an alcohol mixture that has a mix of 200 ml of 35 % alcohol, 250 ml of 75 % alcohol, and 300 ml of 15 % alcohol?
8 A pharmacist combines 8 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 2 % and a 9 % solution do you need to prepare 1 gallon of 4 % solution?

10

What proportion of 20 % zinc oxide and 90 % zinc oxide do you need to make 30 % zinc oxide?

11

How many grams of 2 % hydrocortisone cream be mixed with 440 g of 0.1 % hydrocortisone cream to make a 1.00 % hydrocortisone cream?

12

How many milliliters of water should be added to 1.50 L of 1: 500 w/v solution to make a 1: 9900 w/v solution?

13

How many grams of a 3.50 % 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 14 % w/v stock solution benzalkonium chloride should be used in preparing the following prescription?

Benzalkonium chloride solution 250 ml
Make a solution such that
10 ml diluted to 1 L equals a 1: 5900 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 220 ml of 34 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 500 ml of water, 800 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 1.54 should be mixed with 1000 mL of a syrup having a specific gravity of 1.09 to obtain a product having a specific gravity of 1.38?

Answers

The Answer to question 1 is: 333.85 ml

The Answer to question 2 is: 18.07 % v/v

The Answer to question 3 is: 1 : 680

The Answer to question 4 is: 0.50 %

The Answer to question 5 is: 308.08 ml

The Answer to question 6 is: 12.00 mg

The Answer to question 7 is: 40 % v/v

The Answer to question 8 is: 7.50 % w/v

The Answer to question 9 is: 1081.43 ml of 9 % , 2703.57 ml of 2 %

The Answer to question 10 is: 6 : 1

The Answer to question 11 is: 396.00 grams

The Answer to question 12 is: 28200.00 ml

The Answer to question 13 is: 4540.00 grams

The Answer to question 14 is: 30.27 ml

The Answer to question 15 is: 72.73 ml

The Answer to question 16 is: 0.98

The Answer to question 17 is: 1812.50 ml