Final answer:
To get 50.0 g of glucose from a 12.75% m/v solution, you need 392.16 mL of the solution, calculated using the percentage concentration formula.
Step-by-step explanation:
To determine the volume of a 12.75% m/v glucose solution needed to obtain 50.0 g of glucose, you would use the formula: percentage concentration (m/v) = (mass of solute/volume of solution) × 100%. You have the mass of glucose desired (50.0 g), and you know the m/v percentage concentration of the solution (12.75%).
First, express the percentage as a decimal (12.75% = 0.1275). Then rearrange the formula to find the volume of solution: volume of solution = mass of solute / (m/v concentration in decimal form).
Volume of solution = 50.0 g / 0.1275 = 392.16 mL.
Therefore, you would need 392.16 mL of the 12.75% m/v glucose solution to obtain 50.0 g of glucose. This calculation assumes that the density of the solution is similar to water, which is reasonable for dilute aqueous solutions.