Practice problems

# Question
1 How many milliliters of water should be added to 250 ml of a 56 % (w/v) solution to prepare 1 % w/v solution?
2 If 945 ml of a 30 % v/v solution is diluted to 2800 ml , what is the percent strength of the diluted solution?
3 If 985 ml of a 1 : 294 (w/v) solution is diluted to 2200 ml, what is the ratio strength of the new solution?
4 If 24 ml of a 0.70 % nasal spray was diluted with 28 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 14 % elixir can be prepared from 35 ml of a 63 % elixir?
6 If a cough syrup contains 24 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 40 % alcohol, 225 ml of 55 % alcohol, and 380 ml of 5 % alcohol?
8 A pharmacist combines 3 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 2 % and a 10 % solution do you need to prepare 3 gallon of 5 % solution?

10

What proportion of 10 % zinc oxide and 55 % zinc oxide do you need to make 15 % zinc oxide?

11

How many grams of 5 % hydrocortisone cream be mixed with 340 g of 0.25 % hydrocortisone cream to make a 2.00 % hydrocortisone cream?

12

How many milliliters of water should be added to 2.25 L of 1: 2400 w/v solution to make a 1: 9100 w/v solution?

13

How many grams of a 7.50 % w/w benzocaine ointment can be prepared by diluting 1 lb of a 15 % w/w benzocaine ointment with white petrolatum?

14

How many milliliters of a 10 % w/v stock solution benzalkonium chloride should be used in preparing the following prescription?

Benzalkonium chloride solution 220 ml
Make a solution such that
10 ml diluted to 1 L equals a 1: 7500 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 100 ml of 34 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 100 ml of water, 850 ml of glycerin having a specific gravity of 1.25, and 1000 ml of alcohol having a specific gravity of 0.81?

17

How many milliliters of a syrup having a specific gravity of 1.64 should be mixed with 2000 mL of a syrup having a specific gravity of 1.25 to obtain a product having a specific gravity of 1.29?

Answers

The Answer to question 1 is: 13750.00 ml

The Answer to question 2 is: 10.13 % v/v

The Answer to question 3 is: 1 : 657

The Answer to question 4 is: 0.32 %

The Answer to question 5 is: 157.50 ml

The Answer to question 6 is: 132.00 mg

The Answer to question 7 is: 30 % v/v

The Answer to question 8 is: 7.00 % w/v

The Answer to question 9 is: 4258.13 ml of 10 % , 7096.88 ml of 2 %

The Answer to question 10 is: 8 : 1

The Answer to question 11 is: 198.33 grams

The Answer to question 12 is: 6281.30 ml

The Answer to question 13 is: 908.00 grams

The Answer to question 14 is: 29.33 ml

The Answer to question 15 is: 33.06 ml

The Answer to question 16 is: 1.01

The Answer to question 17 is: 228.57 ml