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You have made up an infusion with 1 gram aminophylline in 1 litre of IV fluid. How many mg/mL of aminophylline is this?

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Final answer:

The IV fluid has a concentration of 1 mg/mL of aminophylline, found by converting 1 gram to 1000 mg and dividing by the total volume of the IV fluid which is 1000 mL.

Step-by-step explanation:

To calculate how many milligrams of aminophylline there are per milliliter of IV fluid, we must use unit conversion. Since there are 1 gram (g) of aminophylline in 1 litre (L) of IV fluid, and 1 gram is equal to 1000 milligrams (mg), we can set up the following calculation:

  • 1 gram = 1000 milligrams
  • 1 liter = 1000 milliliters (mL)

Thus, if we have 1 gram of aminophylline in 1000 mL, to find the concentration in terms of mg/mL, we divide the total milligrams of aminophylline by the total volume of the solution in milliliters:

1000 mg aminophylline / 1000 mL IV fluid = 1 mg/mL aminophylline

This indicates that the IV fluid has a concentration of 1 mg/mL of aminophylline.

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