Practice problems

# Question
1 How many milliliters of water should be added to 110 ml of a 86 % (w/v) solution to prepare 7 % w/v solution?
2 If 245 ml of a 45 % v/v solution is diluted to 2300 ml , what is the percent strength of the diluted solution?
3 If 780 ml of a 1 : 212 (w/v) solution is diluted to 2900 ml, what is the ratio strength of the new solution?
4 If 9 ml of a 0.50 % nasal spray was diluted with 8 ml of normal saline solution, what would be the final drug concentration?
5 How many milliliters of a 37 % elixir can be prepared from 40 ml of a 64 % elixir?
6 If a cough syrup contains 11 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 400 ml of 45 % alcohol, 150 ml of 70 % alcohol, and 270 ml of 15 % alcohol?
8 A pharmacist combines 5 pints of a 5 % w/v povidone-iodine solution with 8 quarts of 10 % w/v povidone-iodine solution. What is the strength of the resulting solution?
9

How many milliliters of 5 % and a 15 % solution do you need to prepare 1 gallon of 12 % solution?

10

What proportion of 20 % zinc oxide and 35 % zinc oxide do you need to make 30 % zinc oxide?

11

How many grams of 5 % hydrocortisone cream be mixed with 940 g of 0.1 % hydrocortisone cream to make a 0.50 % hydrocortisone cream?

12

How many milliliters of water should be added to 3.75 L of 1: 1100 w/v solution to make a 1: 6700 w/v solution?

13

How many grams of a 3.50 % 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 12 % w/v stock solution benzalkonium chloride should be used in preparing the following prescription?

Benzalkonium chloride solution 380 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 210 ml of 72 % (w/v) lactic acid solution?

16

What is the specific gravity of a mixture containing 700 ml of water, 1100 ml of glycerin having a specific gravity of 1.25, and 1100 ml of alcohol having a specific gravity of 0.81?

17

How many milliliters of a syrup having a specific gravity of 1.41 should be mixed with 3500 mL of a syrup having a specific gravity of 1.30 to obtain a product having a specific gravity of 1.31?

Answers

The Answer to question 1 is: 1241.43 ml

The Answer to question 2 is: 4.79 % v/v

The Answer to question 3 is: 1 : 788

The Answer to question 4 is: 0.26 %

The Answer to question 5 is: 69.19 ml

The Answer to question 6 is: 228.00 mg

The Answer to question 7 is: 40 % v/v

The Answer to question 8 is: 8.81 % w/v

The Answer to question 9 is: 2649.50 ml of 15 % , 1135.50 ml of 5 %

The Answer to question 10 is: 1 : 2

The Answer to question 11 is: 83.56 grams

The Answer to question 12 is: 19090.90 ml

The Answer to question 13 is: 4540.00 grams

The Answer to question 14 is: 87.96 ml

The Answer to question 15 is: 147.01 ml

The Answer to question 16 is: 1.02

The Answer to question 17 is: 350.00 ml