Question

a patient needs 2.0 grams of medication every 6 hours. The medication is given in tablets. Each tablet contains 250mg of medication. How many tablets must the patiant take per day?

Answer 1

Answer:

$\large \boxed{32}$

Explanation:

$\text{Dosage rate} = \dfrac{\text{2.0 g}}{\text{6 h}}$

We must convert this measurement to units of "tablets per day".

1. Convert grams to milligrams

$\text{Mass} = \text{2.0 g} \times \dfrac{\text{1000 mg}}{\text{1 g}} = \text{2000 mg}$

2. Convert milligrams to tablets

$\text{No. of tablets} = \text{2000 mg} \times \dfrac{\text{1 tablet}}{\text{250 mg}} = \text{8.0 tablets}$

3. Convert hours to days

$\text{Time} = \text{6 h} \times \dfrac{\text{1 da}}{\text{24 h}} = \text{ 0.25 da}$

4. Calculate the tablets per day

$\dfrac{\text{2.0 g}}{\text{6 h}} = \dfrac{\text{8.0 tablets}}{\text{0.25 da}} = \textbf{32 tablets per day}\\\\\text{The patient must take \large \boxed{\textbf{32 tablets per day}} }$