Calculate the molarity if $30 \, mL$ of $0.5 \, M$ $H_2SO_4$ is diluted to $500 \, mL$. (in $, M$)

$A$ $5.2$ molal aqueous solution of methyl alcohol,$CH_3OH$,is supplied. What is the mole fraction of methyl alcohol in the solution?

$A$ sample of drinking water is found to be severely contaminated with chloroform $(CHCl_3)$,which is a suspected carcinogen. The level of contamination is $15 \ ppm$ (by mass). Calculate the molarity of chloroform in the water sample.

$x \ g$ 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]

An aqueous solution of urea containing $18 \ g$ of urea in $1500 \ cm^{3}$ of the solution has a density of $1.052 \ g/cm^{3}$. If the molecular weight of urea is $60$,the molality of the solution is: (in $m$)

$A$ $1$ molal solution is defined as $1$ mole of solute dissolved in: