Practice problems

# Question
1 How many milliliters of water should be added to 60 ml of a 48 % (w/v) solution to prepare 21 % w/v solution?
2 If 205 ml of a 45 % v/v solution is diluted to 2000 ml , what is the percent strength of the diluted solution?
3 If 365 ml of a 1 : 90 (w/v) solution is diluted to 1000 ml, what is the ratio strength of the new solution?
4 If 40 ml of a 2.00 % nasal spray was diluted with 4 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 7 % elixir can be prepared from 85 ml of a 83 % elixir?
6 If a cough syrup contains 7 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 4 mg/ml?
7 What is the percentage strength (v/v) of an alcohol mixture that has a mix of 400 ml of 40 % alcohol, 125 ml of 50 % alcohol, and 240 ml of 15 % alcohol?
8 A pharmacist combines 6 pints of a 5 % w/v povidone-iodine solution with 7 quarts of 10 % w/v povidone-iodine solution. What is the strength of the resulting solution?
9

How many milliliters of 6 % and a 11 % solution do you need to prepare 2 gallon of 8 % solution?

10

What proportion of 25 % zinc oxide and 35 % zinc oxide do you need to make 30 % zinc oxide?

11

How many grams of 3 % hydrocortisone cream be mixed with 640 g of 0.5 % hydrocortisone cream to make a 2.00 % hydrocortisone cream?

12

How many milliliters of water should be added to 1.25 L of 1: 600 w/v solution to make a 1: 6500 w/v solution?

13

How many grams of a 4.00 % w/w benzocaine ointment can be prepared by diluting 1 lb of a 20 % w/w benzocaine ointment with white petrolatum?

14

How many milliliters of a 13 % w/v stock solution benzalkonium chloride should be used in preparing the following prescription?

Benzalkonium chloride solution 410 ml
Make a solution such that
10 ml diluted to 1 L equals a 1: 5500 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 320 ml of 62 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 700 ml of water, 1250 ml of glycerin having a specific gravity of 1.25, and 1300 ml of alcohol having a specific gravity of 0.81?

17

How many milliliters of a syrup having a specific gravity of 1.49 should be mixed with 3500 mL of a syrup having a specific gravity of 1.25 to obtain a product having a specific gravity of 1.47?

Answers

The Answer to question 1 is: 77.14 ml

The Answer to question 2 is: 4.61 % v/v

The Answer to question 3 is: 1 : 247

The Answer to question 4 is: 1.82 %

The Answer to question 5 is: 1007.86 ml

The Answer to question 6 is: 156.00 mg

The Answer to question 7 is: 34 % v/v

The Answer to question 8 is: 8.50 % w/v

The Answer to question 9 is: 3028.00 ml of 11 % , 4542.00 ml of 6 %

The Answer to question 10 is: 1 : 1

The Answer to question 11 is: 960.00 grams

The Answer to question 12 is: 12291.70 ml

The Answer to question 13 is: 2270.00 grams

The Answer to question 14 is: 57.34 ml

The Answer to question 15 is: 192.90 ml

The Answer to question 16 is: 1.02

The Answer to question 17 is: 38500.00 ml