The amount of water that should be added to $500 \, mL$ of $0.5 \, N$ solution of $NaOH$ to give a concentration of $10 \, mg$ per $mL$ is (in $, mL$)

The mole fractions of glucose $(C_6H_{12}O_6)$ and water $(H_2O)$ in an aqueous glucose solution are $0.0244$ and $0.9756$ respectively. What is the weight percentage $(w/w)$ of glucose in this solution?

What will be the molarity of $Cl^{-}$ ions in $M$ when $0.2 \, mol$ of $NaCl$ and $0.2 \, mol$ of $BaCl_2$ are dissolved in $500 \, mL$ of water?

$x \ g$ 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]

If $25 \ mL$ of $0.25 \ M$ $NaCl$ solution is diluted with water to a volume of $500 \ mL$,the new concentration of the solution is (in $M$)

Two solutions labeled as $3\,M\,HCl$ and $1\,M\,HCl$ are mixed in the ratio of $x : y$ by volume and the molarity of the resulting solution is $1.5\,M$. The molarity of the resulting solution if they are mixed in the ratio $y : x$ by volume is ....... $M$.