What is the mass of glucose in $500 \ g$ of an aqueous solution of glucose having a molality of $0.5 \ m$?

$A$ solution is prepared by adding $124 \ g$ of ethylene glycol (molar mass $= 62 \ g \ mol^{-1}$) to $x \ g$ of water to get a $10 \ m$ solution. What is the value of $x$ (in $g$)?

$A$ solution of sugar is obtained by mixing $200 \ g$ of its $25 \%$ solution and $500 \ g$ of its $40 \%$ solution (both by mass). The mass percentage of the resulting sugar solution is $..........$. (Nearest integer)

$A$ solution contains $1 \ mole$ of water and $4 \ mole$ of ethanol. The mole fraction of water and ethanol will be

$A$ solution contains $25\%$ ${H_2}O$,$25\%$ ${C_2}{H_5}OH$ and $50\%$ ${CH_3}COOH$ by mass. The mole fraction of ${H_2}O$ would be

The molarity of $0.006 \ mol$ of $NaCl$ in $100 \ mL$ solution is (in $M$)