Answer :

Final answer:

To administer a 1 mg dose using a 1:10000 epinephrine solution, a volume of 10 ml is required, as a 1:10000 solution contains 1 mg of epinephrine per 10,000 ml.

Explanation:

The question asks how many milliliters (ml) of a 1:10000 epinephrine solution are needed to provide a patient with a 1 mg dose. To find the answer, we understand that a 1:10000 solution means there is 1 mg of epinephrine in every 10,000 ml of the solution. To calculate the required volume, we set up a proportion where 1 mg of epinephrine is to the unknown volume (V1) as 1 mg of epinephrine is to 10,000 ml. Thus, the equation V1 = (1 mg * 10,000 ml) / 1 mg simplifies to V1 = 10,000 ml / 1 mg. Therefore, the volume V1 required for 1 mg of epinephrine is 10,000 ml / 1,000 mg = 10 ml.

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