You need to give a dose of 70 mg of hydrocortisone. The maximum concentration that can be used is 1 mg/mL. How much fluid do you need?
Question
You need to give a dose of 70 mg of hydrocortisone. The maximum concentration that can be used is 1 mg/mL. How much fluid do you need?
Solution
1. Break Down the Problem
To determine how much fluid is required to administer a dose of 70 mg of hydrocortisone when the concentration is 1 mg/mL, we will calculate the volume of fluid needed.
2. Relevant Concepts
The relationship between dose, concentration, and volume can be expressed with the formula:
Where:
- Dose = 70 mg
- Concentration = 1 mg/mL
3. Analysis and Detail
Using the formula provided:
4. Verify and Summarize
The calculation has been performed correctly. Given that the concentration of hydrocortisone is 1 mg/mL, to achieve a desired dose of 70 mg, you would need to administer 70 mL of fluid.
Final Answer
You need 70 mL of fluid to deliver a dose of 70 mg of hydrocortisone at a concentration of 1 mg/mL.
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