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

When a solute is present in trace quantities,the following expression is used:

$A$ solution of two components containing $n_{1}$ moles of the $1^{st}$ component and $n_{2}$ moles of the $2^{nd}$ component is prepared. $M_{1}$ and $M_{2}$ are the molecular weights of component $1$ and $2$ respectively. If $d$ is the density of the solution in $g \ mL^{-1}$, $C_{2}$ is the molarity and $x_{2}$ is the mole fraction of the $2^{nd}$ component, then $C_{2}$ can be expressed as

The molality (in $mol \ kg^{-1}$) of $1 \ mol$ of solute in $50 \ g$ of solvent is

What will be the normality of a $1 \ L$ solution of $5 \ M$ $H_2SO_4$ after diluting it to $10 \ L$ by adding water (in $N$)?

In a water sample,the concentration of $F^-$ ions is $10 \ ppm$ by weight-volume. What is the concentration of $F^-$ in $\% W/V$ in that solution?