To determine how many mL of a 10% mannitol solution you need to administer to a child, you will need to use the following formula:
(desired dose in grams) / (concentration of mannitol in grams/100 mL) = (volume of solution in mL)
In this case, the desired dose is 20 grams, and the concentration of mannitol is 10% (or 0.1 in decimal form).
20 g / 0.1 g/100mL = 200 mL
So you need 200 mL of 10% mannitol solution to administer 20 grams of mannitol to the child.