$A$ solution containing $500 \ g$ of protein per liter of solution is isotonic with a solution containing $3.42 \ g$ of sugar per liter of solution. The molar mass of the protein is:

When $10 \ g$ of glucose (osmotic pressure $P_1$),$10 \ g$ of urea (osmotic pressure $P_2$),and $10 \ g$ of sucrose (osmotic pressure $P_3$) are dissolved in $250 \ mL$ of water,the correct relationship between the osmotic pressures of these solutions is:

$A$ solution of sucrose (molar mass $= 342 \ g \ mol^{-1}$) is prepared by dissolving $68.4 \ g$ of it per litre of the solution. What is its osmotic pressure in $atm$ at $273 \ K$? (Given: $R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1}$)

At a temperature of $27\,^oC$,$0.6\,g$ of a solute is dissolved in $0.1\,L$ of solvent,resulting in an osmotic pressure of $1.23\,atm$. The molar mass of the solute is .......... $g\,mol^{-1}$.

Equal volumes of $0.2 \ M$ urea and $0.2 \ M$ glucose are mixed. The mixture will have

Grapes are placed in three beakers $X$,$Y$,and $Z$ containing different types of solutions. If beaker $X$ contains an isotonic solution with the grape solution,what will be the nature of the solutions in $Y$ and $Z$?