The mole fractions of glucose $(C_6H_{12}O_6)$ and water $(H_2O)$ in an aqueous glucose solution are $0.0244$ and $0.9756$ respectively. What is the weight percentage $(w/w)$ of glucose in this solution?

What type of solution is obtained from an amalgam of mercury with sodium?

$A$ solution of $x \ g$ of an optically active substance dissolved in $10 \ mL$ of alcohol is placed in a polarimeter tube of $10 \ cm$ length. The observed rotation is $+2^o$. If the specific rotation is $+16^o$,what is the value of $x$ in $g$?

$5.0 \ g$ of sodium hydroxide (Molar mass $40 \ g \ mol^{-1}$) is dissolved in a small quantity of water and the solution is diluted up to $100 \ mL$. What is the molarity of the resulting solution?

$x$ 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?

Molarity $(M)$ of an aqueous solution containing $x \ g$ of anhydrous $CuSO_4$ in $500 \ mL$ solution at $32^{\circ} C$ is $2 \times 10^{-1} \ M$. Its molality will be. . . . . .$\times 10^{-3} \ m$ (nearest integer). [Given density of the solution $= 1.25 \ g/mL$.]