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question 16
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order = 100 mg. tablets = 0.1 g each. how many tablets do you give?
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question 17
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a doctor orders 0.25 mg. the drug is available as 0.125 mg per ml. how many ml do you give?
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question 18
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stock drug is labelled 100 mg per 2 ml. the doctor orders 50 mg. how many ml should you inject?
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Explanation:

Question 16

Step1: Convert units to be consistent

First, convert the tablet's mass from grams to milligrams. Since \(1\ \text{g} = 1000\ \text{mg}\), then \(0.1\ \text{g} = 0.1\times1000 = 100\ \text{mg}\) per tablet.

Step2: Calculate number of tablets

To find the number of tablets, divide the ordered dose by the dose per tablet. The formula is \(\text{Number of tablets} = \frac{\text{Ordered dose}}{\text{Dose per tablet}}\). Substituting the values, we get \(\frac{100\ \text{mg}}{100\ \text{mg per tablet}} = 1\) tablet.

Step1: Identify the formula

The formula to find the volume of the drug to administer is \(\text{Volume} = \frac{\text{Ordered dose}}{\text{Dose per unit volume}}\).

Step2: Substitute the values

Here, the ordered dose is \(0.25\ \text{mg}\) and the dose per mL is \(0.125\ \text{mg/mL}\). Substituting these values into the formula, we get \(\text{Volume} = \frac{0.25\ \text{mg}}{0.125\ \text{mg/mL}} = 2\ \text{mL}\).

Step1: Determine the concentration

The stock drug has a concentration of \(100\ \text{mg}\) per \(2\ \text{mL}\), so the concentration \(C=\frac{100\ \text{mg}}{2\ \text{mL}} = 50\ \text{mg/mL}\) (this step is to understand the concentration, but we can also use the proportion method directly).

Step2: Use the proportion to find volume

We can set up a proportion: \(\frac{100\ \text{mg}}{2\ \text{mL}}=\frac{50\ \text{mg}}{V\ \text{mL}}\), where \(V\) is the volume we need to find. Cross - multiplying gives \(100\times V=50\times2\). Then \(V = \frac{50\times2}{100}=1\ \text{mL}\). Or using the formula \(\text{Volume}=\frac{\text{Ordered dose}}{\text{Dose per unit volume}}\), the dose per unit volume is \(\frac{100\ \text{mg}}{2\ \text{mL}} = 50\ \text{mg/mL}\), and the ordered dose is \(50\ \text{mg}\), so \(\text{Volume}=\frac{50\ \text{mg}}{50\ \text{mg/mL}} = 1\ \text{mL}\).

Answer:

1

Question 17