The hardness of a water sample due to $MgSO_4$ is $50 \, ppm$. Calculate the amount of $MgSO_4$ in $mg$ present in $1 \, kg$ of water.

$50 \ mL$ of an aqueous solution of glucose contains $6.02 \times 10^{22}$ molecules. The concentration of the solution is? ........... $M$

If the mole fraction of the solute in benzene is $0.2$,then the molality of the solution is .........

$x \ g$ of $NaCl$ is added to water in a beaker with a lid. The temperature of the system is raised from $1^{\circ}C$ to $25^{\circ}C$. Which out of the following plots is best suited for the change in the molarity $(M)$ of the solution with respect to temperature? [Consider the solubility of $NaCl$ remains unchanged over the temperature range]

$A$ solution of $H_2O_2$ used for hair bleaching contains approximately $5.0 \ g$ of $H_2O_2$ per $100 \ mL$ of solution. If the molar mass of $H_2O_2$ is $34 \ g/mol$,what is the molarity of this solution?

Which of the following statements is $NOT$ correct about a solution?