$A$ mixture of alcohol and water contains $54 \%$ water by mass. What is the mole fraction of ethanol?

$A$ solution of sodium sulphate contains $92 \ g$ of $Na^{+}$ ions per kilogram of water. The molality of $Na^{+}$ ions in that solution in $mol \ kg^{-1}$ is:

The amount of sugar $(C_{12}H_{22}O_{11})$ required to prepare $2 \ L$ of its $0.1 \ M$ aqueous solution is ............... $g$.

The mole fraction of a solute in a solution is $0.1$. At $298 \ K$,molarity of the solution is the same as its molality. The density of this solution at $298 \ K$ is $2.0 \ g \ cm^{-3}$. The ratio of the molecular weights of the solute and solvent,$\left(\frac{MW_{solute}}{MW_{solvent}}\right)$,is

If $18 \ g$ of glucose $(C_6H_{12}O_6)$ is present in $1000 \ g$ of an aqueous solution of glucose,it is said to be ......... $molal$.

$8 \ g$ of $NaOH$ is dissolved in $18 \ g$ of $H_2O$. Mole fraction of $NaOH$ in solution and molality (in $mol \ kg^{-1}$) of the solution respectively are