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Pharmaceutical Calculations (part 2), Exercises of Pharmacy

University of Asia Pacific, DhanmondiPharmacy
Prof. Faria Tasneem

Basic maths in pharmacy which includes determining the child dose from any adult dose amongst others

Typology: Exercises

2021/2022

Uploaded on 12/11/2022

ukulala
ukulala 🇧🇩

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Chapter: Pharmaceutical Calculations
Lecture-2
1. A pharmacist weighs out 2 kg of glycerin (density: 1.25 g/ml). What is the volume
of glycerin?
2. If a prescription order requires 25 gm of concentrated HCl (density: 1.18 g/ml),
what volume should the pharmacist measure?
3. How many 65 mg capsules can be made from 50 gm of a drug?
4. The adult dose of a drug is 5 gr. What is the dose for a 3-year-old child?
5. What is the dose of a drug for a 9-month old infant if the average adult dose is 25
mg?
6. What is the dose of a drug for a 6-year-old child if the average adult dose is 1.5
gr?
7. If a bottle contains 80 units of a drug /ml, how many ml must the patient take to get
a 60-unit dose? If the bottle contains 10 ml total volume of the drug solution, how
many days’ supply will patients have if they use 60 units a day?
8. How many grams of solute are needed to prepare 240 grams of a 12% w/w
solution?
9. How much of each substance is needed to prepare a total of 24 gram of the
suppository mass?
Compound K 0.3 gm
Solid H 0.15 gm
Suppository base q.s. to make 2.0 gm
10. How much of each ingredient is required to prepare the following ointment?
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Chapter: Pharmaceutical Calculations Lecture- 2

  1. A pharmacist weighs out 2 kg of glycerin (density: 1.25 g/ml). What is the volume of glycerin?
  2. If a prescription order requires 25 gm of concentrated HCl (density: 1.18 g/ml), what volume should the pharmacist measure?
  3. How many 65 mg capsules can be made from 50 gm of a drug?
  4. The adult dose of a drug is 5 gr. What is the dose for a 3-year-old child?
  5. What is the dose of a drug for a 9-month old infant if the average adult dose is 25 mg?
  6. What is the dose of a drug for a 6-year-old child if the average adult dose is 1. gr?
  7. If a bottle contains 80 units of a drug /ml, how many ml must the patient take to get a 60-unit dose? If the bottle contains 10 ml total volume of the drug solution, how many days’ supply will patients have if they use 60 units a day?
  8. How many grams of solute are needed to prepare 240 grams of a 12% w/w solution?
  9. How much of each substance is needed to prepare a total of 24 gram of the suppository mass? Compound K 0.3 gm Solid H 0.15 gm Suppository base q.s. to make 2.0 gm
  10. How much of each ingredient is required to prepare the following ointment?

Coal tar solution 10% Hydrophilic Ointment qs to make 30 gm

  1. What is the percentage weight in weight of sugar in a syrup made by dissolving 5 Kg of sugar in 8 Kg of water?
  2. How much drug is needed to compound a liter of a 1:2500 aqueous solution?
  3. How many grams of a drug are needed to make 240 ml of a solution of such strength that when 5 ml is diluted to 2 qt, a 1:2500 solution results?
  4. How much of a drug is needed to compound 120 ml of a prescription order such that when a tea spoonful of the solution is diluted to 1 qt, a 1:750 solution results?
  5. An ampoule of solution of an anti-inflammatory drug contains 4 mg of drug/ml. What volume of the solution is needed to prepare a liter of solution that contains 2 μg of the drug/ml?
  6. How many grams of a 1:100 trituration contains 100 μg of the active ingredient?
  7. What is the strength of a mixture produced by combining the following lots of alcohol: 2L of 95%, 2L of 50% and 7L of 60%? 1 8. What is the percent of drug content in the following mixture: 2 kg of 3%, 300 g of 2.5%, and 500 g of 4.2% resin?
  8. How many mL of 20% dextrose in water and how many mL of 50% dextrose in water are needed to make 1 L of 35% dextrose in water?
  9. How many grams of 28% w/w ammonia water should be added to 500 g of 5% w/w ammonia water to produce a 10% w/w ammonia concentration? Solution

1. A pharmacist weighs out 2 kg of glycerin (density: 1.25 g/ml). What is the volume of glycerin? ❑Solution: 1.25 gm is equivalent to = 1 ml in volume 2 kg or 2000 gm is ……. = 1X2000/1.25 = 1600 ml (Ans.)

  1. If a prescription order requires 25 gm of concentrated HCl (density: 1. g/ml), what volume should the pharmacist measure?

Therefore, to prepare 24 gm of suppository mass we need Compound K = 0.3X24/ gm = 3.6 gm And, to prepare 2 gm of suppository mass we need Solid H of mass = 0.15 gm Therefore, to prepare 24 gm of suppository mass we need Compound K = 0.15X24/ gm = 1.8 gm And the amount of suppository base required= 24-(3.6+1.8)= 18.6 g (Ans.)

  1. How much of each ingredient is required to prepare the following ointment? Coal tar solution 10% Hydrophilic Ointment base q.s. to make 30 gm ❑Solution: 10% means 10 gm solute in 100 gm solution (w/w; as the final calculation is in gram) To prepare 100 gm ointment we need coal tar solution of mass= 10 gram To prepare 30 gm ointment we need coal tar solution of mass= 10X30/100 = 300/ = 3 gram (Ans.) Hydrophilic Ointment base required = 30 gm – 3 gm = 27 gm (Ans.)
  2. What is the percent weight in weight of sugar in a syrup made by dissolving 5 kg of sugar in 8 kg of water? ❑Solution: Percent weight in weight means = Amount of solute in gm in 100 gm of solution 8000 g sugar-water (syrup) solution is made from = 5000 g sugar 100 g sugar-water solution is made from = 5000 X100/8 000 = 62.5 g sugar or, concentration in % w/w= 62.5 % w/w (Ans.)
    1. How much drug is needed to compound a liter of a 1:2500 aqueous solution? ❑Solution: 1:2500 means 1 gm solute in 2500 ml solution Or, 2500 ml final solution is made from = 1 gm compound/solute/drug 1 Liter or 1000 ml final solution is made from = 1X1000/2500 gm = 0.4 gm or 0.4X1000 mg or 400 mg drug (Ans.)
  3. How many grams of a drug are needed to make 240 ml of a solution of such strength that when 5 ml is diluted to 2 qt, a 1:2500 solution results? ❑Solution:

1 pint = 473 ml 2 pint = 1 qt So, 1 qt = 473X2 ml = 946 ml So, 2 qt = 946X2 ml = 1892 ml 1:2500 means 1 gm in 2500 ml

- Continue- = 36.3 gm (Ans.) 1 tea spoonful = 5 ml 1 tablespoonful = 15 ml 1 teacupful = 120 ml 1 wineglassful = 60 ml 2 tablespoonful = 30 ml 1 tablespoonful = 15 ml 1 tea spoonful = 5 ml 1 qt = 2 pint = 2X473 ml = 946 ml What is a pint? A unit of liquid measure of capacity equal to one eighth of a gallon. 1 Brit pint is equal to 0.568 liters, 1 US pint to 0.473 liters. Here we use the US value of pint.

  1. How much of a drug is needed to compound 120 ml of a prescription order such that when a tea spoonful of the solution is diluted to 1 qt, a 1:750 solution results? ❑Solution: Do it yourself 30.2 gm (approx.) (Ans.)
  2. An ampoule of solution of an anti-inflammatory drug contains 4 mg of drug/ml. What volume of the solution is needed to prepare a liter of solution that contains 2 μg of the drug/ml? ❑Solution: S 1 V 1 = S 2 V 2 [1 g = 10^6 μg] V 1 = 0. 5 ml (Ans.)
  3. How many grams of a 1:100 trituration contains 100 μg of the active ingredient?

Therefore, percentage of drug content in the mixture is 3.16% (Ans.).

  1. How many mL of 20% dextrose in water and how many mL of 50% dextrose in water is needed to make 1 L of 35% dextrose in water? ❑Solution: Let x be the volume in ml of the 20% solution and (1000 – x) be the volume of 50% solution. Now, V 1 S 1 + V 2 S 2 = V S Or, x (20) + (1000-x) (50)= 1000 X 5 Or, x= 500 ml, and 1000-x= 1000-500 ml= 500 ml Therefore, we use 50 0 ml of 2 0% solution and 50 0 ml of 5 0% solution to male 1 L of 35% dextrose in water. ❑500 ml; 500 ml (Ans.).
  2. How many grams of 28% w/w ammonia water should be added to 500 g of 5% w/w ammonia water to produce a 10% w/w ammonia concentration? ❑Solution: Try yourself