Find out the mole fraction of methanol in a $5.2 \ m$ aqueous solution of methanol.

$A$ solution contains $7.8 \ g$ of benzene $(C_6H_6)$ and $46.0 \ g$ of toluene $(C_6H_5CH_3)$. What is the mole fraction of benzene?

The molarity of a solution containing $15 \text{ g}$ of $\text{NaOH}$ in $900 \text{ ml}$ of solution will be . . . . . . . (in $\text{ M}$)

The density of a nitric acid solution is $1.5 \ g \ mL^{-1}$. Its weight percentage is $68 \%$. What is the approximate concentration (in $mol \ L^{-1}$) of nitric acid? $(N=14 \ u, O=16 \ u, H=1 \ u)$

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

$25 \ g$ of a solute of molar mass $250 \ g \ mol^{-1}$ is dissolved in $100 \ mL$ of water to obtain a solution whose density is $1.25 \ g \ mL^{-1}$. The molarity and molality of the solution are respectively