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

What volume (in $mL$) of $3.0 \ M \ H_2SO_4$ is required to prepare $1.0 \ L$ of a $1.0 \ M$ solution?

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: At $10^{\circ} C$,the density of a $5 \ M$ solution of $KCl$ is given. The solution is cooled to $-21^{\circ} C$. The molality of the solution will remain unchanged.
Reason $R$: The molality of a solution does not change with temperature as mass remains unaffected by temperature.
In the light of the above statements,choose the correct answer from the options given below:

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

What is the molality of a solution containing $300 \ mg$ of urea (molar mass $60 \ g/mol$) dissolved in $30 \ g$ of water (in $m$)?

Which of the following factors affect the molarity of a solution?