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To finish a quality control on your blood glucose monitoring, use glucose control solution. It can assist you in determining whether your meter and test strips are working properly.

The following are the given information:

We have $500mL$of a $5.0\%(m/v)$glucose solution.

Find for$25\%(m/v)$glucose solution.

$\text{Mass / Volume percent}(\mathrm{m}/\mathrm{v})=\left(\text{Mass of solute / Volume of solution}\right)×100\%$

$\text{Mass / Volume percent of the glucose solution to be prepared}=5.0\%(\mathrm{m}/\mathrm{v})$

Volume of the solution is $500mL.$

Mass of the glucose is,

$$\begin{gathered} =(\text{Mass}/\text{Volume percent}×\text{Volume of the solution})/100\% \\ =(5.0\%×500)/100\% \\ =25g \end{gathered}$$

Mass of the glucose is $25g$

$\text{Mass / Volume percent of the stock solution}=25\%(\mathrm{m}/\mathrm{v})$

Therefore,

The volume of the glucose is,

$$\begin{gathered} =\left(\text{Mass of glucose in the solution / Mass / Volume percent of the solution}\right)×100\% \\ =(25/25\%)×100\%mL \\ =100mL \\ =1.0×{10}^{2}mL \end{gathered}$$

Hence the volume of the glucose is$1.0×{10}^{2}mL$