Question

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

Short answer

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

Step-by-step solution

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.

Given Information.

Given:

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

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

Explanation.

The $5\%(m/v)$also written as,

localid="1653998888108" $1000\mathrm{ml}\text{solution}=1\text{Lsolution}$

localid="1653998881340" $\frac{1\text{Lsolution}}{1000\mathrm{ml}\text{solution}}\text{and}\frac{1000\mathrm{ml}\text{solution}}{1\text{Lsolution}}$

And therefore,

localid="1653998894963" $100\mathrm{ml}\text{solution}=5gglu\cos e$

localid="1653998903513" $\frac{5g\text{glucose}}{100\mathrm{ml}\text{solution}}\text{and}\frac{100\mathrm{ml}\text{solution}}{5\mathrm{g}\text{glucose}}$

Converting the grams of glucose to liters of glucose as,

localid="1653998914440" $$\begin{gathered} =100\mathrm{g}\text{glucose}\times \frac{100\mathrm{ml}\text{solution}}{5\mathrm{g}\text{ghteose}}\times \frac{1\text{L solution}}{1000\text{ml sotution}} \\ =2L\mathrm{solution} \end{gathered}$$