Answer: option (b) - 5 ml.
Explanation:
To find out how many milliliters are required to provide 0.25 mg of the drug substance, you can use the given information:
1 microgram (µg) = 0.001 milligrams (mg)
So, 25 µg is equivalent to 0.025 mg (25 * 0.001 mg).
Now, we need to determine how many milliliters are required to provide 0.025 mg of the drug substance.
Given that each 0.5 ml contains 25 µg (0.025 mg) of the drug substance, you can set up a proportion to find the volume (in milliliters) required to provide 0.025 mg:
(0.5 ml) / (0.025 mg) = (x ml) / (0.25 mg)
Now, solve for x:
x = (0.5 ml * 0.25 mg) / 0.025 mg
x = (0.125 ml) / 0.025 mg
x = 5 ml
So, 5 milliliters (ml) will be required to provide 0.25 mg of the drug substance. The correct answer is option (b) - 5 ml.