Practice problems

# Question
1 How many milliliters of water should be added to 210 ml of a 56 % (w/v) solution to prepare 24 % w/v solution?
2 If 745 ml of a 35 % v/v solution is diluted to 2500 ml , what is the percent strength of the diluted solution?
3 If 720 ml of a 1 : 366 (w/v) solution is diluted to 1300 ml, what is the ratio strength of the new solution?
4 If 29 ml of a 0.70 % nasal spray was diluted with 8 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 46 % elixir can be prepared from 60 ml of a 72 % elixir?
6 If a cough syrup contains 26 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 6 mg/ml?
7 What is the percentage strength (v/v) of an alcohol mixture that has a mix of 300 ml of 35 % alcohol, 100 ml of 65 % alcohol, and 170 ml of 15 % alcohol?
8 A pharmacist combines 2 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 3 % and a 17 % solution do you need to prepare 3 gallon of 13 % solution?

10

What proportion of 25 % zinc oxide and 45 % zinc oxide do you need to make 40 % zinc oxide?

11

How many grams of 5 % hydrocortisone cream be mixed with 200 g of 0.75 % hydrocortisone cream to make a 4.50 % hydrocortisone cream?

12

How many milliliters of water should be added to 1.75 L of 1: 500 w/v solution to make a 1: 8300 w/v solution?

13

How many grams of a 7.50 % 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 19 % w/v stock solution benzalkonium chloride should be used in preparing the following prescription?

Benzalkonium chloride solution 300 ml
Make a solution such that
10 ml diluted to 1 L equals a 1: 4100 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 600 ml of 58 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 500 ml of water, 1300 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 1.40 should be mixed with 7000 mL of a syrup having a specific gravity of 1.27 to obtain a product having a specific gravity of 1.33?

Answers

The Answer to question 1 is: 280.00 ml

The Answer to question 2 is: 10.43 % v/v

The Answer to question 3 is: 1 : 661

The Answer to question 4 is: 0.55 %

The Answer to question 5 is: 93.91 ml

The Answer to question 6 is: 48.00 mg

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

The Answer to question 8 is: 9.00 % w/v

The Answer to question 9 is: 8110.71 ml of 17 % , 3244.29 ml of 3 %

The Answer to question 10 is: 1 : 3

The Answer to question 11 is: 1500.00 grams

The Answer to question 12 is: 27300.00 ml

The Answer to question 13 is: 2118.67 grams

The Answer to question 14 is: 38.51 ml

The Answer to question 15 is: 338.36 ml

The Answer to question 16 is: 1.05

The Answer to question 17 is: 6000.00 ml