$450 \ mg$ of glucose is dissolved in $100 \ g$ of solvent. What is the molality of the solution (in $m$)?

$A$ solution is prepared by dissolving $24.5 \ g$ of sodium hydroxide in distilled water to give $1 \ L$ solution. The molarity of $NaOH$ in the solution is (Given that molar mass of $NaOH = 40.0 \ g \ mol^{-1}$) (in $M$)

If $4 \ g$ of $NaOH$ dissolves in $36 \ g$ of $H_2O$,calculate the mole fraction of each component in the solution. Also,determine the molarity of the solution (specific gravity of the solution is $1 \ g \ mL^{-1}$).

What is mole fraction? Explain in brief.

The density of a stock solution of $29.2\% \, (w/w) \, HCl$ is $1.25 \, g \, mL^{-1}$. If the molar mass of $HCl$ is $36.5 \, g \, mol^{-1}$,what volume (in $mL$) of the stock solution is required to prepare $200 \, mL$ of $0.4 \, M \, HCl$ solution?

An aqueous solution of urea containing $18 \ g$ of urea in $1500 \ cm^{3}$ of the solution has a density of $1.052 \ g/cm^{3}$. If the molecular weight of urea is $60$,the molality of the solution is: (in $m$)