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

If the density of some lake water is $1.25\, g\, mL^{-1}$ and contains $92\, g$ of $Na^{+}$ ions per $kg$ of water,calculate the molality of $Na^{+}$ ions in the lake. (in $, m$)

$x \ g$ 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?

$A$ solution is prepared by adding $1 \ mole$ of ethyl alcohol in $9 \ mole$ of water. The mass percent of solute in the solution is. . . . . . . (Integer Answer)
(Given : Molar mass in $g \ mol^{-1}$ Ethyl alcohol : $46$,
water : $18$)

To what extent must a given solution of concentration of $40 \, mg$ silver nitrate per $mL$ be diluted to yield a solution of concentration of $16 \, mg$ $AgNO_3$ per $mL$?

If $50 \%$ of $1 \ M \ Na_2SO_4$ is dissociated in an aqueous solution of density $1.2 \ g \ mL^{-1}$,what is the molality of $Na^{+}$ ion in the solution?