A $100$ L aqueous solution $($S$.$G$.$ of the solution$=1\mathrm{.}05)$ contains $5\%$ glucose by mass. It is desirable

to produce a $25$ wt$\%$ glucose solution by adding some glucose powder to the existing aqueous

solution $(5$ wt$\%$ glucose$).$ Determine the amount $($kg$)$ of glucose needed for this process and what is the final product

in mass $($kg$)?$