An aqueous solution of $98\% (w/w)$ $H_2SO_4$ has a density of $1.84 \ g/mL$. The molality of the solution is: (in $m$)

Assertion: One molal aqueous solution of glucose contains $180 \, g$ of glucose in $1 \, kg$ water.
Reason: Solution containing one mole of solute in $1000 \, g$ of solvent is called one molal solution.

Sea water,which can be considered as a $6 \ M$ solution of $NaCl$,has a density of $2 \ g \ mL^{-1}$. The concentration of dissolved oxygen $(O_2)$ in sea water is $5.8 \ ppm$. Then the concentration of dissolved oxygen $(O_2)$ in sea water is $x \times 10^{-4} \ m$. $x = ............$ $(Nearest \ integer)$
Given: Molar mass of $NaCl$ is $58.5 \ g \ mol^{-1}$. Molar mass of $O_2$ is $32 \ g \ mol^{-1}$.

$x$ 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?

The density of a solution prepared by dissolving $120 \ g$ of urea (mol. mass $= 60 \ u$) in $1000 \ g$ of water is $1.15 \ g/mL$. The molarity of this solution is : ............ $M$

If the molality of an aqueous solution is $m$ and the mole fraction of the solute is $y$,which of the following relations is correct?