The volume of ethyl alcohol (density $1.15 \text{ g/cc}$) that has to be added to prepare $100 \text{ cc}$ of $0.5 \text{ M}$ ethyl alcohol solution in water is: (in $\text{ cc}$)

$250 \, mL$ of a sodium carbonate solution contains $2.65 \, g$ of $Na_2CO_3$. If $10 \, mL$ of this solution is diluted to $1 \, L$,what is the concentration of the resultant solution? (Molecular weight of $Na_2CO_3 = 106$)

What will be the mass of the solute in $g$ in $1 \, L$ of a solution having $40 \%$ concentration by weight? The density of the solution is $1.2 \, g/mL$.

$A$ solution of a solute in benzene has a molality of $X \ m$. If the mole fraction of the solute is $0.2$,what is the value of $X$?

To $5.85 \, g$ of $NaCl$,$1 \, kg$ of water is added to prepare a solution. What is the strength of $NaCl$ in this solution? (Molecular weight of $NaCl = 58.5 \, g/mol$)

Calculate the mole fraction of $C_2H_6O_2$ (ethylene glycol) in an aqueous solution containing $28 \%$ by mass of $C_2H_6O_2$.