Question

a nurse must administer 220 micrograms of atropine sulfate. the drug is available in solution form. the concentration of the atropine sulfate solution is 400 micrograms per milliliter. how many milliliters should be given?
milliliters of the atropine sulfate solution should be given.
(simplify your answer.)

Explanation:

Step1: Recall the formula for volume

The formula to find the volume \( V \) when we know the mass \( m \) and concentration \( C \) (mass per unit volume) is \( V=\frac{m}{C} \). Here, the mass \( m = 220\) micrograms and the concentration \( C = 400\) micrograms per milliliter.

Step2: Substitute the values into the formula

Substitute \( m = 220\) and \( C = 400\) into the formula \( V=\frac{m}{C}\). So we have \( V=\frac{220}{400}\).

Step3: Simplify the fraction

Simplify \( \frac{220}{400}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 20. \( \frac{220\div20}{400\div20}=\frac{11}{20} = 0.55\).

Answer:

\( 0.55 \)