Pharmaceutical calculations
1. Prepare 100 ml, 2.5% solution (desired volume and %age) from 4% (available %age) solution.
Formula
% age desiredVol. required = ---------------------- X Vol. desired
% age available
Solution
2.5Vol required = ------- X 100
4
Vol required = 62.5 ml
Volume of solvent or vehicle = 100 - 62.5 = 37.5 ml
Where 62.5 ml is the volume of available solution that we mix with 37.5 ml water in order to make 100 ml of solution.
2. Prepare 500 ml, 5 % drug solution from 10 % stock solution.
Solution
5
Vol required = ------- X 500
10
Vol required = 250 ml of drug stock solution.
We mix 250 ml of stock solution with 250 ml of water (solvent) in order to make 500 ml of 5% drug solution.
3. Prepare 500 ml, 70% solution from 50% and 95% solutions.
Solution
Note: Subtract 70 (% age of the desired solution) from each stock solution %age and write under the opposite stock solutions values.50% 95%
-----------------------------------------
25 20 (we divide both values with the common no. i.e., 5)
5 4
Proportion sum = 5 + 4 = 9
5
Vol. required from 50% stock solution = ------- X 500
9
Vol. required from 50% stock solution = 277.5 ml
4
Vol. required from 95% stock solution = ------- X 500
9
Vol. required from 95% stock solution = 222.5 ml
Total volume = 277.5 + 222.5
Total volume = 500 ml
4. Prepare 100 ml, 60% solution from 80% and 50% stock solutions.
Solution
50% 80%-----------------------------------------
20 10 (we divide both values with the common no. i.e., 2)
10 5 (we divide both values with the common no. i.e., 5)
2 1
Proportion sum = 2 + 1
= 3
2
Vol. required from 50% stock solution = ------- X 100
3
= 66.66 ml
1
Vol. required from 80% stock solution = ------- X 100
3
= 33.33 ml
Total volume = 66.66 ml + 33.33 ml
= 100 ml
5. How many ml of 5% solution of a drug will be required for a dog weighing 10 kg? While the recommended dose is 20 mg per kg bodyweight.
Formula
BodyweightDose = --------------------- X Dose rate
Conc. of a drug
Note: If the conc. is in %age then multiply that %age with 10
Solution
10 kgDose = ------------- X 20 mg/ml
50 mg/ml ( 5 X 10 = 50 )
= 4 ml (solution of a drug is required)
6. A cat weighs 9 lbs and requires a drug dose rate of 0.5 mg per kg, and the conc. of the drug solution is 1%. Find the dose rate?
Solution
1 kg = 2.2 lbsWeight of the cat in kg = 9 / 2.2 = 4.09 kg
Dose = 4.09 X 0.5 / 10 = 0.2 ml
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