Question

D5W is a solution used as an intravenous fluid. It is a 5.0% by mass solution of dextrose (C₆H₁₂O₆) in water. If the density of D5W is 1.029 g/mL, calculate the molarity of dextrose in the solution.

a) 0.28 M
b) 0.56 M
c) 1.12 M
d) 2.24 M

Answer 1

To calculate the molarity of dextrose in the D5W solution, we need to convert the mass percentage of dextrose to molarity. The density of D5W is given as 1.029 g/mL, which means 1 mL of D5W has a mass of 1.029 grams.

Step-by-step explanation:

To calculate the molarity of dextrose in the D5W solution, we need to convert the mass percentage of dextrose to molarity. The density of D5W is given as 1.029 g/mL, which means 1 mL of D5W has a mass of 1.029 grams. Since the solution is 5.0% by mass dextrose, we can calculate the mass of dextrose in 1 mL of the solution as:

Mass of dextrose = 5.0% * 1.029 g = 0.05145 g

Next, we need to convert the mass of dextrose to moles:

Moles of dextrose = 0.05145 g / (molar mass of dextrose)

The molar mass of dextrose (C6H12O6) is calculated as (6 * atomic mass of C) + (12 * atomic mass of H) + (6 * atomic mass of O).

Finally, to obtain the molarity of dextrose, we divide the moles of dextrose by the volume of the solution in liters:

Molarity of dextrose = Moles of dextrose / Volume of solution (in liters)