Question

The solution strength label of a solution indicates that 5,000 mL contains 1 gram of

epinephrine. How many mL of solution with contain 0.25 mg of epinephrine?

Answer 1

`\huge{ \boxed{1.25 \: \text{ml}}}`

Step-by-step explanation:

The volume of the solution can be found by using the principle of ratio and proportion.

From the question:

1 g of epinephrine is in 5000 mL of the solution

Therefore 0.25 mg of epinephrine will be in how many mL of the solution

First the 1 g has to be converted to mg.

1g = 1000 mg

`\text{if} \: 1000 \: mg = 5000 \: ml \\ \text{then} \: 0.25 \: mg = (0.25 \: mg)/(1000 \: mg) * 5000 \: ml \\ = 1.25 \: ml`

Answer 2

To find the volume of solution needed for 0.25 mg of epinephrine, set up the proportion using the given solution strength label and solve for the unknown volume, which results in 1.25 mL.

Step-by-step explanation:

To determine the volume of solution needed to obtain 0.25 mg of epinephrine, we must set up a proportion based on the ratio provided: 5,000 mL contains 1 gram of epinephrine.

Note that 1 gram is equivalent to 1,000 mg, so 5,000 mL contains 1,000 mg of epinephrine.

We want to find how many mL would contain 0.25 mg of epinephrine.

First, convert the given mass of epinephrine to the same units used in the solution strength label:

1. 1 gram = 1,000 milligrams (mg)
2. Set up the proportion: (5,000 mL / 1,000 mg) = (x mL / 0.25 mg)
3. Cross-multiply and solve for x: 1,000 mg × x mL = 0.25 mg × 5,000 mL
4. x = (0.25 mg × 5,000 mL) / 1,000 mg
5. x = 1.25 mL

Therefore, you would need 1.25 mL of the solution to obtain 0.25 mg of epinephrine.