$34.2 \ g$ of sugar is dissolved in $1.8 \times 10^{2} \ g$ of water to form sugar syrup. Calculate the mole fraction of sugar. (Molar mass of sugar $= 342 \ g/mol$,water $= 18 \ g/mol$)

$A$ solution is prepared by dissolving $24.5 \ g$ of sodium hydroxide in distilled water to give $1 \ L$ solution. The molarity of $NaOH$ in the solution is (Given that molar mass of $NaOH = 40.0 \ g \ mol^{-1}$) (in $M$)

What is the sum of the mole fractions of all the components in a solution?

What is the mole fraction of the solute in a $2.5 \, m$ aqueous solution?

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?

Calculate the mass of Glucose $(C_6H_{12}O_6)$ required in making $2.5 \ kg$ of $0.25 \ molal$ aqueous solution. [Atomic wt : $H=1, O=16, C=12 \ amu$] (in $g$)