$3.42 \times 10^{-2} \ kg$ of sugar (molar mass $342 \ g \ mol^{-1}$) is dissolved in water to produce $234.2 \ g$ of sugar syrup. What is the molality of the sugar syrup?

$A$ solution is prepared by adding $2 \ g$ of a substance $A$ to $18 \ g$ of water. Calculate the mass per cent of the solute. (in $\%$)

What is the mole fraction of water in $10\%$ by weight $(w/w)$ of aqueous urea solution? [Given: Molar mass of $H, O, C$ and $N$ are $1, 16, 12$ and $14 \text{ g mol}^{-1}$ respectively.]

Molarity is expressed as

At $T \ (K)$,$100 \ g$ of $98\%$ $H_2SO_4$ $(w/w)$ aqueous solution is mixed with $100 \ g$ of $49\%$ $H_2SO_4$ $(w/w)$ aqueous solution. What is the mole fraction of $H_2SO_4$ in the resultant solution?
(Given: Atomic mass $H = 1 \ u; S = 32 \ u; O = 16 \ u$)
(Assume that temperature after mixing remains constant)

$60 \ g$ of $CH_3COOH$ is dissolved in $1 \ dm^3$ of solvent. What is the molality of the solution (in $m$)? (Density $= 1.25 \ g / cm^3$)