QuestionA patient needs 260 mg of acetaminophen. How many mL of Liquid Tylenol () is required? Choose the two correct fractions for dimensional analysis.
Studdy Solution
STEP 1
Assumptions1. The concentration of acetaminophen in Liquid Tylenol is325 milligrams per12.5 milliliters.
. The doctor has prescribed260 milligrams of acetaminophen.
3. We need to find out the volume of Liquid Tylenol that contains the prescribed amount of acetaminophen.
4. We assume that the concentration of acetaminophen in Liquid Tylenol is uniform, i.e., it does not change with the volume of the liquid.
STEP 2
We can start by setting up a proportion to find the volume of Liquid Tylenol that contains the prescribed amount of acetaminophen. The proportion is based on the fact that325 milligrams of acetaminophen is found in12.5 milliliters of Liquid Tylenol.
STEP 3
We can solve this proportion for by cross-multiplying.
STEP 4
Now, isolate by dividing both sides of the equation by325 mg.
STEP 5
Notice that the units of milligrams (mg) on the numerator and denominator cancel out, leaving us with milliliters (ml), which is the unit we want for our answer.
STEP 6
Now, calculate the value of .
The patient needs to take10 milliliters of Liquid Tylenol to get the prescribed amount of acetaminophen.
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