Find out the mole fraction of methanol in a $5.2 \ m$ aqueous solution of methanol.

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 $m$)

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?

Which of the following modes of expressing concentration is independent of temperature?

$A$ solution contains $1 \ mole$ of water and $4 \ mole$ of ethanol. The mole fraction of water and ethanol will be

Conc. $H_2SO_4$ has a density of $1.98 \ g/mL$ and is $98\%$ $H_2SO_4$ by weight. Its normality is ......... $N$.