D5W is a solution used as an intervenous fluid. It is 5.0% by mass solution of the dextrose (C6H12O6) in water. if the density of D5W is 1.029 g/ml. Calculate the molarity of the dextrose in the solution.

0.29 mol/L

Explanation:

Its density is 1.029 g/ml so in a liter (1000 mL) there is 1029 g of solution, but only 5% is dextrose.

0.05x1029=51.45

So in a liter of D5W solution there is 51.45 g of dextrose.

Dextrose molar mass iss 180.156 g/mol, so in 51.45 g of dextrose there is

51.45/180.156=0.29 mol

In one liter of solution there is 0.29 mol of dextrose, so the molarity of such solution is 0.29 mol/L.