Find out the mole fraction of glycerine in a solution containing $46 \ g$ of glycerine $(C_3H_8O_3)$ and $36 \ g$ of water $(H_2O)$.

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 $m$)

Which unit of concentration value does not change with change in temperature?

$5.0 \ g$ of sodium hydroxide (Molar mass $40 \ g \ mol^{-1}$) is dissolved in a small quantity of water and the solution is diluted up to $100 \ mL$. What is the molarity of the resulting solution?

Density of $3 \ M$ $NaCl$ solution is $1.25 \ g/mL$. The molality of the solution is : (in $m$)

What will be the mass of the solute in $g$ in $1 \, L$ of a solution having $40 \%$ concentration by weight? The density of the solution is $1.2 \, g/mL$.