To solve this problem, we need to use the formula:
mass = volume x concentration x density
where mass is the amount of glucose needed, volume is the volume of the glucose solution we need to prepare, concentration is the percentage of glucose in the solution, and density is the density of the solution.
We can rearrange the formula to solve for volume:
volume = mass / (concentration x density)
The density of the 5.00% (m/v) glucose solution can be assumed to be 1.00 g/mL.
Plugging in the values, we get:
volume = 8.5 g / (5.00 g/100 mL x 1.00 g/mL) = 170 mL
Therefore, we need 170 mL of the 5.00% (m/v) glucose solution to deliver 8.5 grams of glucose.