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

`\large \boxed{32}`

Step-by-step explanation:

`\text{Dosage rate} = \frac{\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} * \frac{\text{1000 mg}}{\text{1 g}} = \text{2000 mg}`

2. Convert milligrams to tablets

`\text{No. of tablets} = \text{2000 mg} * \frac{\text{1 tablet}}{\text{250 mg}} = \text{8.0 tablets}`

3. Convert hours to days

`\text{Time} = \text{6 h} * \frac{\text{1 da}}{\text{24 h}} = \text{ 0.25 da}`

4. Calculate the tablets per day

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