Practice problems

# Question
1 How many milliliters of water should be added to 70 ml of a 36 % (w/v) solution to prepare 11 % w/v solution?
2 If 315 ml of a 65 % v/v solution is diluted to 2500 ml , what is the percent strength of the diluted solution?
3 If 800 ml of a 1 : 136 (w/v) solution is diluted to 1100 ml, what is the ratio strength of the new solution?
4 If 11 ml of a 6.50 % nasal spray was diluted with 8 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 26 % elixir can be prepared from 30 ml of a 54 % elixir?
6 If a cough syrup contains 22 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 300 ml of 30 % alcohol, 225 ml of 75 % alcohol, and 180 ml of 25 % alcohol?
8 A pharmacist combines 9 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 4 % and a 13 % solution do you need to prepare 2 gallon of 12 % solution?

10

What proportion of 20 % zinc oxide and 40 % zinc oxide do you need to make 25 % zinc oxide?

11

How many grams of 2 % hydrocortisone cream be mixed with 300 g of 0.25 % hydrocortisone cream to make a 0.50 % hydrocortisone cream?

12

How many milliliters of water should be added to 4.50 L of 1: 1200 w/v solution to make a 1: 7500 w/v solution?

13

How many grams of a 7.50 % 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 11 % w/v stock solution benzalkonium chloride should be used in preparing the following prescription?

Benzalkonium chloride solution 350 ml
Make a solution such that
10 ml diluted to 1 L equals a 1: 3600 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 400 ml of 70 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 100 ml of water, 550 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 1.45 should be mixed with 4500 mL of a syrup having a specific gravity of 1.15 to obtain a product having a specific gravity of 1.21?

Answers

The Answer to question 1 is: 159.09 ml

The Answer to question 2 is: 8.19 % v/v

The Answer to question 3 is: 1 : 187

The Answer to question 4 is: 3.76 %

The Answer to question 5 is: 62.31 ml

The Answer to question 6 is: 276.00 mg

The Answer to question 7 is: 43 % v/v

The Answer to question 8 is: 8.04 % w/v

The Answer to question 9 is: 6728.89 ml of 13 % , 841.11 ml of 4 %

The Answer to question 10 is: 3 : 1

The Answer to question 11 is: 50.00 grams

The Answer to question 12 is: 23625.00 ml

The Answer to question 13 is: 1210.67 grams

The Answer to question 14 is: 88.38 ml

The Answer to question 15 is: 272.24 ml

The Answer to question 16 is: 0.94

The Answer to question 17 is: 1125.00 ml