Question

A patient receives 3.4 L of glucose solution intravenously (IV). If 100. mI of the solution contains 5.5 g of glucose (carbohydrate), how many kcals did the patient obtain from the glucose solution
Express the energy to two significant figures and include the appropriate units.

Answer 1

To find the amount of glucose in the IV solution, we can use unit analysis:

100 mL of solution contains 5.5 g of glucose.

1 L = 1000 mL, so 1 L of solution contains (5.5 g/100 mL) * (1000 mL/1 L) = 55 g of glucose.

Therefore, the patient receives 3.4 L * 55 g/L = 187 g of glucose.

There are 4 kcal/g in glucose, so the patient obtains 187 g * 4 kcal/g = 748 kcal from the glucose solution.

Rounded to two significant figures, the patient obtains 750 kcal.