Q. 3.35 - An Introduction to General, Organic, and Biological Chemistry

Question

A patient receives $3.2 L$of intravenous ($IV$) glucose solution. If $100 mL$ of the solution contains  of glucose (carbohy. drate), how many kilocalories did the patient obtain from the glucose solution?

Step-by-Step Solution

Answer

As a result, the patient derives $640 kcal$ from the glucose solution.

Step: 1 Given information:

Given are: $3.2L$of intravenous glucose solution and $100mL$ of glucose.

To find the how much patient derives from the glucose solution. 

Step; 2 Finding glucose:

Converting $L$ to $mL$

The factor is $1\mathrm{L}=1000\mathrm{mL}$

$3.2\mathrm{L}=3.2\mathrm{L}\times \frac{1000\mathrm{mL}}{1\mathrm{L}}$

$3.2\mathrm{L}=3200\mathrm{mL}$

The amount of glucose in the sample is $5g$

Glucose is contained in a solution is,

$=3200 \mathrm{mL}\times \frac{5 \mathrm{g}}{100 \mathrm{mL}}$

. $=160g.$

Step: 3 Patient from glucose solution energy:

As glucose is a carbohydrate, it has a $4kcal/g$ calorie energy value.

Using the formula, calculate the energy in $160g$ of glucose.

$\text{ Total energy }=\text{ energy value of carbohydrate }\times \text{ mass }$

$Total energy=160\mathrm{g}\times 4\mathrm{kcal}/\mathrm{g}$

As a result,the patient derives $640kcal$ from the glucose solution.