$30 \ mL$ of $0.5 \ M$ $NaOH$ is diluted to $500 \ mL$ by adding water. What will be the molarity of the diluted solution (in $M$)?

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

$x \ g$ 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]

The volume of $10 \ N$ and $4 \ N$ $HCl$ required to make $1 \ L$ of $7 \ N$ $HCl$ are

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

Density of $12.25\%$ (by weight) $H_2SO_4$ solution is $1.056 \ g/mL$. The molarity of the solution is .......... $M$.