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

1.5 ml

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:

`(1)/(4)\text{ gr}* \frac{60\text{ mg}}{\text{ gr}}`

`(1)/(4)* 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.