Question

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

Short answer

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

Step-by-step solution

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.

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,

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

Explanation.

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

$\text{volumeofsolution}=\frac{\text{mass of solute}}{\text{50\%m/vgulcosesolution}}\times 100\mathrm{\%}$

localid="1654000505207" $=1500mL$

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

localid="1654000513146" $1L=1000mL$

The equality of factor is,

localid="1654000518933" $\frac{1L}{1000mL}$

To find the volume of gulcose is,

localid="1654000528389" $VolumeofsolutionL=1500\cancel{mL}\times \frac{1L}{1000\cancel{mL}}$

localid="1654000534870" $=1.5L$

As a result, the gulcose solution volume in litres is localid="1654000539534" $1.5L$.