To prepare a solution of concentration $0.03 \ g/mL$ of $AgNO_3$,what amount of $AgNO_3$ should be added in $60 \ mL$ of solution?

$36 \ g$ of water and $828 \ g$ of ethyl alcohol form an ideal solution. The mole fraction of water in it is:

$A$ mixture of alcohol and water contains $54 \%$ water by mass. What is the mole fraction of ethanol?

$5.0 \ g$ 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?

Molality of $0.8 \ M \ H_2SO_4$ solution (density $1.06 \ g \ cm^{-3}$) is . . . . . . $\times 10^{-3} \ m$.

Find the molarity of the $5$ molal urea solution,whose density is $1.3 \ g / mL$ (given,molecular weight of urea is $60.06 \ g / mol$).