Q. 2.114 - An Introduction to General, Organic, and Biological Chemistry

Question

A doctor orders $2.0$ mg of morphine. The vital of morphine on hand is $10, mg ml$. How many milliliters of morphine should you administer to the patient? (2.6)

Step-by-Step Solution

Answer

The number of millimeters of morphine that should be administered to the patient is determined as $0.20 mL$

Step 1 : Given Information

The given is the order made by the doctor for morphine.

The objective is to determine how many millimeters of morphine administer to the patient.

Amount of morphine ordered is 2 mg. 

The amount of morphine that is present is 1 0 mg. 

Step 2 : Explanation

The equality from the availability of morphine $10.\mathrm{mg}$ per $1.0 \mathrm{mL}$ is as follows:

$10. mg morphine =1.0 mL$ morphine

As a result, the conversion factors will be:

$\frac{10.\mathrm{mg}\text{ morphine }}{1.0 \mathrm{mL}\text{ morphine }}$ and $\frac{1.0 \mathrm{mL}\text{ morphine }}{10.\mathrm{mg}\text{ morphine }}$

Step 3 : Explanation

The conversion factor that should be used is as follows:

$\frac{1.0 \mathrm{mL}\text{ morphine }}{10.\text{ mg morphine }}$

Determine the millilitres of morphine in millilitres of morphine 

$2.0 \mathrm{mg}$ of morphine.

$2.0$ mg morphine $$\begin{gathered} \times \frac{1.0 mL morphine }{10 .mg morphine} \\ =0.20 mL morphine \end{gathered}$$

Thus, $0.20 \mathrm{mL}$ of morphine should be administered to the patient.