Final answer:
0.5 milligrams of epinephrine are given in acute hypersensitivity reactions when administering 0.5 mL of a 1:1000 (w/v) solution of epinephrine subcutaneously or intramuscularly.
Step-by-step explanation:
The question asks for the milligrams of epinephrine given in acute hypersensitivity reactions when administering 0.5 mL of a 1:1000 (w/v) solution of epinephrine subcutaneously or intramuscularly.
A 1:1000 (w/v) solution means that 1 gram of epinephrine is dissolved in 1000 mL of solution. The question specifies that we need to calculate the milligrams of epinephrine given, so we need to convert grams to milligrams.
There are 1000 milligrams in 1 gram. Therefore, if we have a 0.5 mL solution, we can calculate the milligrams of epinephrine given by multiplying 0.5 mL by the concentration of 1 gram per 1000 mL and then converting grams to milligrams.
0.5 mL * (1 gram / 1000 mL) * (1000 milligrams / 1 gram) = 0.5 milligrams
So, 0.5 milligrams of epinephrine are given in this scenario.