Question

The hospital pharmacy receives an order for morphine sulfate ¼ gr IM stat. The concentration on hand is 10mg per mL How many mL is needed for the dose?

Answer 1

Answer:

1.5 ml

Step-by-step explanation:

We have been given that the concentration on hand is 10 mg per ml.

We know that gr stands for grains.

We know that 1 gr equals 60 mg.

First of all, we will convert 1/4 gr to mg as:

$\frac{1}{4}\text{ gr}\times \frac{60\text{ mg}}{\text{ gr}}$

$\frac{1}{4}\times 60\text{ mg}$

$15\text{ mg}$

1 ml equals 10 mg. We can set an a proportion as:

$\frac{x}{15\text{ mg}}=\frac{\text{1 ml}}{10\text{ mg}}$

$\frac{x}{15\text{ mg}}*15\text{ mg}=\frac{\text{1 ml}}{10\text{ mg}}*15\text{ mg}$

$x=\text{1 ml}*1.5$

$x=\text{1.5 ml}$

Therefore, 1.5 ml is needed for the dose.