Q. 9.98 - An Introduction to General, Organic, and Biological Chemistry

Question

How many liters of a $5.0\% (m/v)$ glucose solution would you need to obtain $75 g$ of glucose? $(9.4)$

Step-by-Step Solution

Answer

As a conclusion, the gulcose liquid amount in litres is $1.5 L$.

Step 1: Introduction.

Dextrose solution, commonly known as intravenous sugar solution, is a combination of fructose (glucose) and water. It's being used to cure hypoglycaemia and dehydration without electrolyte depletion.

Step 2: Given data.

We will use the percentage method to calculate the volume of the solution in millilities.

$\text{ Mass/volume percent }(\mathrm{m}/\mathrm{v})=\frac{\text{ mass of solute }}{\text{ volume of solution }}\times 100\mathrm{\%}$

Reorganise the equation for solution volume,

$\text{volume of solution}=\frac{\text{ mass of solute }}{\text{ mass/volume}\text{ percent (m/v)}}\times 100\mathrm{\%}$

Step 3: Explanation.

Likewise, in the percentage statement, we may replace the mass of the solute and the mass/volume percent of the sugar solution.

$\text{volume of solution}=\frac{\text{ mass of solute }}{\text{ 50\% m/v gulcose solution}}\times 100\mathrm{\%}$

$=1500 mL$

We use the connection among litres and millilitres to compute the volume of a solution in litres.

$1 L=1000 mL$

The equality of factor is,

$\frac{1 L}{1000 mL}$

To find the volume of gulcose is,

$Volume of solution L=1500 \cancel{mL}\times \frac{1 L}{1000 \cancel{mL}}$

$=1.5 L$

As a result, the gulcose solution volume in litres is $1.5 L$.