Practice problems

# Question
1 How many milliliters of water should be added to 200 ml of a 32 % (w/v) solution to prepare 21 % w/v solution?
2 If 830 ml of a 75 % v/v solution is diluted to 1100 ml , what is the percent strength of the diluted solution?
3 If 860 ml of a 1 : 78 (w/v) solution is diluted to 900 ml, what is the ratio strength of the new solution?
4 If 30 ml of a 0.70 % nasal spray was diluted with 26 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 42 % elixir can be prepared from 60 ml of a 48 % elixir?
6 If a cough syrup contains 37 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 350 ml of 45 % alcohol, 150 ml of 55 % alcohol, and 160 ml of 20 % alcohol?
8 A pharmacist combines 2 pints of a 5 % w/v povidone-iodine solution with 3 quarts of 10 % w/v povidone-iodine solution. What is the strength of the resulting solution?
9

How many milliliters of 4 % and a 18 % solution do you need to prepare 2 gallon of 12 % solution?

10

What proportion of 20 % zinc oxide and 90 % zinc oxide do you need to make 70 % zinc oxide?

11

How many grams of 3 % hydrocortisone cream be mixed with 760 g of 0.1 % hydrocortisone cream to make a 1.50 % hydrocortisone cream?

12

How many milliliters of water should be added to 2.75 L of 1: 3100 w/v solution to make a 1: 7400 w/v solution?

13

How many grams of a 5.50 % w/w benzocaine ointment can be prepared by diluting 1 lb of a 25 % w/w benzocaine ointment with white petrolatum?

14

How many milliliters of a 16 % 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: 6100 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 830 ml of 52 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 300 ml of water, 750 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 1.56 should be mixed with 6000 mL of a syrup having a specific gravity of 1.21 to obtain a product having a specific gravity of 1.40?

Answers

The Answer to question 1 is: 104.76 ml

The Answer to question 2 is: 56.59 % v/v

The Answer to question 3 is: 1 : 82

The Answer to question 4 is: 0.38 %

The Answer to question 5 is: 68.57 ml

The Answer to question 6 is: 96.00 mg

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

The Answer to question 8 is: 8.75 % w/v

The Answer to question 9 is: 4325.71 ml of 18 % , 3244.29 ml of 4 %

The Answer to question 10 is: 2 : 5

The Answer to question 11 is: 709.33 grams

The Answer to question 12 is: 3814.50 ml

The Answer to question 13 is: 2063.64 grams

The Answer to question 14 is: 25.61 ml

The Answer to question 15 is: 419.64 ml

The Answer to question 16 is: 0.97

The Answer to question 17 is: 7125.00 ml