Density of a $2.05 \ M$ solution of acetic acid in water is $1.02 \ g/mL$. The molality of the solution is ............. $mol \ kg^{-1}$.

An aqueous solution of alcohol contains $18 \ g$ of water and $414 \ g$ of ethyl alcohol. The mole fraction of water is

$6 \ g$ of urea (molar mass $= 60 \ g \ mol^{-1}$) and $9 \ g$ of glucose (molar mass $= 180 \ g \ mol^{-1}$) were dissolved in $35 \ g$ of water. The mass percent of urea and glucose is respectively:

The density of a solution containing $13 \%$ by mass of $H_2SO_4$ is $1.09 \ g/mL$. The molarity and normality of the solution are respectively :-

The molality and molarity of a solution of glucose in water which is labelled as $10 \% (w/w)$ are respectively (density of solution $= 1.2 \ g \ mL^{-1}$)

$A$ compound $H_2X$ with molar weight of $80 \ g \ mol^{-1}$ is dissolved in a solvent having density of $0.4 \ g \ mL^{-1}$. Assuming no change in volume upon dissolution,the molality of a $3.2 \ M$ solution is: