Answer to Question #69870 in General Chemistry for shelby

Question

A 28 kg child can consume a maximum of 23 children's acetaminophen tablets in an 8-hr period without exceeding the safety-limit maximum allowable dose. Given that each children's tablet contains 80 mg of acetaminophen, determine the maximum allowable dose in mg per pound of body weight for one day.

Answer 1

23 tablets in an 8 hour period - 23x3=69 tablets in an 24 hour period.

23 tb - 8-hr
69 tb - 24-hr

1 tablet - 80 mg
69 tablets - 69x80=5520 mg

If 28 kg child can consume 5520 mg acetaminophen in 24 hours, then
the maximum allowable dose in mg per kg of body weight for one day is:

28 kg - 5520 mg
1 kg - 1x5520/28=197,1428 mg

then
the maximum allowable dose in mg per pound of body weight for one day is:

1 lb = 0,45359 kg

1 kg - 197,1428 mg
0,45359 kg - (0,45359x197,1428/1)= 89,422 mg

The maximum dose in mg per piund of body weight for 24-hrs is 89,422 mg (~1 tablet).