Final answer:
To obtain 90 g of glucose from a 7.0% (m/v) glucose solution, you would need 1.28571 liters of the solution.
Step-by-step explanation:
To calculate how many liters of a 7.0% (m/v) glucose solution are needed to obtain 90 g of glucose, you would use the formula:
Mass = Volume × Concentration (m/v)
From the formula, the Volume can be isolated as follows:
Volume = Mass / Concentration
For a 7.0% (m/v) solution, this means that there are 7.0 g of glucose in every 100 mL of solution. To find out how many milliliters are needed for 90 g:
Volume = 90 g / (7.0 g/100 mL) = 1285.71 mL
To convert this to liters:
Volume in liters = 1285.71 mL / 1000 mL/L = 1.28571 L
Therefore, 1.28571 liters of a 7.0% (m/v) glucose solution are required to obtain 90 g of glucose.