Question

1 kg / 1000 g
1000 mg / 1 g
1 mg / 1000 µg
1000 µg / 1 mg
1000 g / 1 kg
1 g / 1000 mg

given units and required units of chemicals | conversion factor
500 g of medication a in terms of mg | blank
7 mg of medication b in terms of g | blank
60 g of medication c in terms of kg | blank
0.02 mg of medication d in terms of µg | blank

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part b
a patient requires 0.100 g of a drug. the pharmacist has tablets that contain 50.0 mg of the drug. choose the conversion factor that the pharmacist needs to dosage.
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Answer:

Part A (Filling the Conversion Factor Table)

1. 500 g of medication A in terms of mg

Step1: Identify the conversion factor

We know that to convert grams (g) to milligrams (mg), the conversion factor is \( \frac{1000\ \text{mg}}{1\ \text{g}} \) (since \( 1\ \text{g} = 1000\ \text{mg} \)).

Step2: No further calculation for the conversion factor

The conversion factor is \( \frac{1000\ \text{mg}}{1\ \text{g}} \)

2. 7 mg of medication B in terms of g

Step1: Identify the conversion factor

To convert milligrams (mg) to grams (g), we use the reciprocal of the g to mg conversion. Since \( 1\ \text{g}=1000\ \text{mg} \), the conversion factor is \( \frac{1\ \text{g}}{1000\ \text{mg}} \)

Step2: No further calculation for the conversion factor

The conversion factor is \( \frac{1\ \text{g}}{1000\ \text{mg}} \)

3. 60 g of medication C in terms of kg

Step1: Identify the conversion factor

To convert grams (g) to kilograms (kg), we know that \( 1\ \text{kg} = 1000\ \text{g} \), so the conversion factor is \( \frac{1\ \text{kg}}{1000\ \text{g}} \)

Step2: No further calculation for the conversion factor

The conversion factor is \( \frac{1\ \text{kg}}{1000\ \text{g}} \)

4. 0.02 mg of medication D in terms of \( \mu\text{g} \)

Step1: Identify the conversion factor

We know that \( 1\ \text{mg}= 1000\ \mu\text{g} \), so the conversion factor to convert milligrams (mg) to micrograms (\( \mu\text{g} \)) is \( \frac{1000\ \mu\text{g}}{1\ \text{mg}} \)

Step2: No further calculation for the conversion factor

The conversion factor is \( \frac{1000\ \mu\text{g}}{1\ \text{mg}} \)

Part B (Choosing the conversion factor for the dosage problem)

Step1: Analyze the units

The patient needs \( 0.100\ \text{g} \) of the drug and the tablets have \( 50.0\ \text{mg} \) of the drug. We need to convert grams to milligrams (or vice - versa) to find out how many tablets are needed.
To convert grams to milligrams, we use the conversion factor \( \frac{1000\ \text{mg}}{1\ \text{g}} \) (because \( 1\ \text{g} = 1000\ \text{mg} \)). If we want to convert milligrams to grams, we use \( \frac{1\ \text{g}}{1000\ \text{mg}} \). But since we have the required amount in grams (\( 0.100\ \text{g} \)) and the tablet strength in milligrams (\( 50.0\ \text{mg} \)), we can convert the required amount in grams to milligrams using \( \frac{1000\ \text{mg}}{1\ \text{g}} \) or convert the tablet strength from milligrams to grams using \( \frac{1\ \text{g}}{1000\ \text{mg}} \). However, if we want to find out how many \( 50.0\ \text{mg} \) tablets are needed for \( 0.100\ \text{g} \), we can first convert \( 0.100\ \text{g} \) to mg.

Step2: Determine the conversion factor

The conversion factor to convert grams to milligrams is \( \frac{1000\ \text{mg}}{1\ \text{g}} \) (or the conversion factor to convert milligrams to grams is \( \frac{1\ \text{g}}{1000\ \text{mg}} \)). If we want to find the number of tablets, we can also think in terms of converting the tablet's milligram amount to grams. But the most direct way to compare the two quantities (required in g and tablet in mg) is to convert the required amount in g to mg. So the conversion factor is \( \frac{1000\ \text{mg}}{1\ \text{g}} \) (or \( \frac{1\ \text{g}}{1000\ \text{mg}} \) depending on the approach, but \( \frac{1000\ \text{mg}}{1\ \text{g}} \) is used to convert g to mg).

Part A Table Answers

Given units and required units of chemicals	Conversion Factor
7 mg of medication B in terms of g	\( \frac{1\ \text{g}}{1000\ \text{mg}} \)
60 g of medication C in terms of kg	\( \frac{1\ \text{kg}}{1000\ \text{g}} \)
0.02 mg of medication D in terms of \( \mu\text{g} \)	\( \frac{1000\ \mu\text{g}}{1\ \text{mg}} \)

Part B Answer

The conversion factor the pharmacist needs is \( \frac{1000\ \text{mg}}{1\ \text{g}} \) (or \( \frac{1\ \text{g}}{1000\ \text{mg}} \) depending on the calculation path, but \( \frac{1000\ \text{mg}}{1\ \text{g}} \) is used to convert the required \( 0.100\ \text{g} \) to mg for comparison with the \( 50.0\ \text{mg} \) tablet strength).