If the density of a $1 \, m$ aqueous solution of $NaCl$ is $1.21 \, g/mL$,then the molarity of the solution is .......... (in $, M$)

The sum of the mole fraction of the components of a 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]

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 $M$)

$125 \, cm^3$ of isopropyl alcohol is added to water to make a solution of volume $175 \, cm^3$. Find the volume fraction and volume percentage of isopropyl alcohol in the solution.

Mole fraction $(X)$ of any solution is equal to