Find out the mole fraction of glycerine in a solution containing $46 \ g$ of glycerine $(C_3H_8O_3)$ and $36 \ g$ of water $(H_2O)$.

$A$ 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 $g$?

The density of an aqueous solution of $4\%$ by mass $NaOH$ is $1.04\ g/mL$. The molality of the solution is:

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

The molarity of a solution obtained by mixing $750 \, mL$ of $0.5 \, M \, HCl$ with $250 \, mL$ of $2 \, M \, HCl$ will be $......... \, M$.

What is the concentration of nitrate ions if equal volumes of $0.1 \, M$ $AgNO_3$ and $0.1 \, M$ $NaCl$ are mixed together (in $, M$)?