A young man weighing 65 kg was admitted to the hospital with severe burns in a severe catabolic state. An individual in this state requires 40 kcal per kg body weight per day and 2 gms of protein/kg body weight/day. This young man was given a solution containing 20% glucose and 4.25% protein. If 3000 ml of solution is infused per day -
Let's see the amount of calories and proteins supplied by the infused solution.

First the calories

Note here that the calories are calculated by catabolism of glucose, not proteins. (Proteins are given for anabolic processes of the body, it's not meant for catabolic production of energy).
So calories are produced from 20% glucose in 3000 ml of solution.
Percentage of glucose in solution → 20%
Amount of glucose in 3000 ml → 3000 x 20/100 = 600 gms.
1 gm of Glucose on catabolism produces → 4.2 kcal.
600 gms of glucose would produce → 600 x 4.2 = 2520 kcal.

Now the amount of protein provided by the solution.

Percentage of protein in fluid 4.25%
Percentage of protein in 3000 ml of fluid → 3000 x (4.25/100)=127.5 gm

Now, let's find out the amount of calories and proteins required by the patient per day.

Calories required → 40 x 65 = 2600 Kcal
Amount of protein required → 2 x 65 = 130 gms
The patient would not be getting sufficient protein
The calories supplied would be inadequate
Both protein and calories would be adequate
Too much protein is being infused