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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?

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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:

Volume=DoseConcentration \text{Volume} = \frac{\text{Dose}}{\text{Concentration}}

Where:

  • Dose = 70 mg
  • Concentration = 1 mg/mL

3. Analysis and Detail

Using the formula provided:

Volume=70 mg1 mg/mL=70 mL \text{Volume} = \frac{70 \text{ mg}}{1 \text{ mg/mL}} = 70 \text{ mL}

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.

This problem has been solved

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