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

$x$ grams of water is mixed in $69 \ g$ of ethanol. The mole fraction of ethanol in the resultant solution is $0.6$. What is the value of $x$ in grams?

$A$ mixture of alcohol and water contains $54 \%$ water by mass. What is the mole fraction of ethanol?

If a solution is $98\% \ H_2SO_4$ by weight and has a density of $1.8 \ g/mL$,its molarity is ....... $M$.

Molarity of $4\%$ $NaOH$ solution is ......... $M$.

Commercially available $H_2SO_4$ is $98 \ g$ by weight of $H_2SO_4$ and $2 \ g$ by weight of water. Its density is $1.38 \ g \ cm^{-3}$. Calculate the molality $(m)$ of $H_2SO_4$ (molar mass of $H_2SO_4$ is $98 \ g \ mol^{-1}$). (in $m$)