f an injectable contains 20% of mannitol, how many mls of the injection should be administered to provide 100gm of mannitol?

To find out how many milliliters (ml) of the injectable solution should be administered to provide 100 grams (gm) of mannitol, we need to use the given concentration and the desired quantity of mannitol.

Given:
- Concentration of mannitol in the solution: 20%
- Desired quantity of mannitol: 100 gm

To determine the volume of the injectable solution, we can set up a proportion using the concentration and desired quantity:

{(20 gm mannitol / 100 ml solution) = (100 gm mannitol / x ml solution)}

To solve for "x" (the volume of the injectable solution), we can cross-multiply and then divide:

20 gm mannitol * x ml solution = 100 gm mannitol * 100 ml solution
x ml solution = (100 gm mannitol * 100 ml solution) / 20 gm mannitol

Now, we can calculate:

x ml solution = (10000 gm·ml) / 20 gm
x ml solution = 500 ml

Therefore, 500 ml of the injectable solution should be administered to provide 100 gm of mannitol.