Q. 9.53 - An Introduction to General, Organic, and Biological Chemistry

Question

A patient needs $100 g$ of glucose in the next $12 h$. How many liters of a $5\% (m/v)$ glucose solution must be given?

Step-by-Step Solution

Answer

$2 L \mathrm{solution}$ containing in a $5\% (m/v)$ glucose solution.

Step1: Introduction.

To finish a quality control on ones blood glucose monitoring system, use glucose control solution. It can help decide whether your meter and testing kits are working properly.

Step2: Given Information.

Given:

For $12 h,$ patients needs $100 g$ of glucose

To find the liters of $5\% (m/v)$ glucose solution.

Step3: Explanation.

The $5\% (m/v)$ also written as,

$1000 \mathrm{ml}\text{ solution }=1\text{ Lsolution }$

$\frac{1\text{ Lsolution }}{1000 \mathrm{ml}\text{ solution }}\text{ and }\frac{1000 \mathrm{ml}\text{ solution }}{1\text{ Lsolution }}$

And therefore,

$100 \mathrm{ml}\text{ solution }=5 g glu\cos e$

$\frac{5 g\text{ glucose }}{100 \mathrm{ml}\text{ solution }}\text{and }\frac{100 \mathrm{ml}\text{ solution }}{5 \mathrm{g}\text{ glucose }}$

Converting the grams of glucose to liters of glucose as,

$$\begin{gathered} =100 \mathrm{g}\text{ glucose }\times \frac{100 \mathrm{ml}\text{ solution }}{5 \mathrm{g}\text{ ghteose }}\times \frac{1\text{ L solution }}{1000\text{ ml sotution }} \\ =2 L \mathrm{solution} \end{gathered}$$