Questions: A glucose solution is frequently used as an intravenous (IV) solution to supply hydration and/or nutrition. Calculate amounts of glucose provided and volumes used. The molecular weight of glucose is 180.156 g / mol. If you wish to administer 215.00 grams of glucose from a 0.278 M glucose solution, what volume of solution will need to be dispensed?

Solution Steps

To find the number of moles of glucose required, we use the formula: \[ \text{moles of glucose} = \frac{\text{mass of glucose}}{\text{molecular weight of glucose}} \] Given:

• Mass of glucose = 215.00 g
• Molecular weight of glucose = 180.156 g/mol

\[ \text{moles of glucose} = \frac{215.00 \, \text{g}}{180.156 \, \text{g/mol}} = 1.1931 \, \text{mol} \]

The molarity (M) of a solution is defined as the number of moles of solute per liter of solution. We can rearrange this definition to solve for the volume of the solution: \[ \text{Volume of solution} = \frac{\text{moles of glucose}}{\text{molarity}} \] Given:

• Molarity of glucose solution = 0.278 M

\[ \text{Volume of solution} = \frac{1.1931 \, \text{mol}}{0.278 \, \text{M}} = 4.2924 \, \text{L} \]

Final Answer