The number of molecules present in $100 \ mL$ of a urea solution is $6.02 \times 10^{23}$. What is the molarity $(M)$ of the urea solution?

The density of a $10.0\% \, w/w$ aqueous solution of $KCl$ is $1.06 \, g \, cm^{-3}$. The molarity of this solution is ........

What is the mole fraction of the solute in a $1.00 \, m$ aqueous solution?

Calculate the mole fraction of solute in the solution if the solution is prepared by dissolving $394 \ g$ of a nonvolatile solute in $622 \ g$ of water at $30^{\circ}C$ (Molar mass of solute $= 342 \ g \ mol^{-1}$).

The molarity of pure water is $......$

What is the mass of glucose in $500 \ g$ of an aqueous solution of glucose with a molality of $0.5 \ m$?