Answers and Computations

Theoretical weight of 10 tablets is 5.12 grams. Each tablet contains 375 mg of active ingredient. Using these data, determine the following:

1. The amount of active ingredient needed to prepare 60,000 tablets.
A) 307.20 grams
B) 11.718 grams
C) 22.50 kilograms
D) 307.20 kilograms
E)  30.72 kilograms

Solution:
X / 60,000tablets = 375mg / 10tablets
(X)(10tablets) = (375mg)(60,000tablets)
X = (375mg)(60,000tablets) / 10tablets
X = 22,500,000mg

Milligram is converted to Kilogram, thus

X = 22.50 Kilograms

2. The amount of active ingredient needed to prepare 70 kilograms batch.
A) 136.719 grams
B) 186.70 grams
C) 43.50 grams
D) 51.27 kilograms
E) 5.127 kilograms

Solution:
Convert all unit to Kilogram
70kg
0.00512kg 
0.000375kg, thus

X / 70kg = 0.000375kg / 0.00512kg
(X)(0.00512kg) = (70kg)(0.000375kg)
X =  (70kg)(0.000375kg) / 0.00512kg
X =  5.127Kg

3. Determine the percentage amount of additive A per tablet if its actual amount is 35% of total additives.
A) 26.76%
B) 14.81%
C) 9.37%
D) 15.83%
E) 25.63%

Solution:
5.12g /10 tablets = 0.512g, convert into milligrams --> 512mg
512mg  - 375mg of active = 137mg
(137mg)x(35%)  = 47.95mg
% of additive per tablet = (47.95mg / 512mg) x100%
% of additive per tablet = 9.37%

4. If the tablet weight specification requires a limit of +/-10%, determine the upper and lower control limits of the tablets.
A) 460.80g - 463.20g
B) 337.50g - 412.50g
C) 460.80mg - 583.20mg
D) 337.50mg - 412.50mg
E) 4.608g - 5.632g

Solution:
Upper control limit = (512mg x 10%) + 512mg
Upper control limit = 563.2mg

Lower control limit = (512mg x 10%) - 512mg
Lower control limit = 460.8mg

460.8mg - 563.2mg

5) At what amount of the active ingredient is the product considered to be expired?
A) below 337.50mg
B) below 375.00 mg
C) below 356.25mg
D) below 365.50mg
E) below 568.89mg

Solution:
375mg x 90% = 337.5mg