Calculate the mole fraction of urea in an aqueous solution of $1 \ m$ urea $(NH_2CONH_2)$.

$25 \ g$ of a solute of molar mass $250 \ g \ mol^{-1}$ is dissolved in $100 \ mL$ of water to obtain a solution whose density is $1.25 \ g \ mL^{-1}$. The molarity and molality of the solution are respectively

The density of $2 \ M \ MgBr_2$ solution is $1.2 \ g/mL$. Then the molality of the solution is ........ $m$.

The weight percent of sucrose (formula weight $= 342 \, g \, mol^{-1}$) in an aqueous solution is $3.42$. The density of the solution is $1 \, g \, mL^{-1}$. The concentration of sucrose in the solution in $mol \, L^{-1}$ is

Molar concentration $(M)$ of any solution $=$

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