The molar mass of a solute $X$ in $g \ mol^{-1}$,if its $1 \%$ solution is isotonic with a $5 \%$ solution of cane sugar (molar mass $= 342 \ g \ mol^{-1}$),is

The concentration in $g$ per litre of a solution of cane sugar $(M = 342)$ which is isotonic with a solution containing $6 \ g$ of urea $(M = 60)$ per litre is

Osmotic pressure is $0.0821 \ atm$ at a temperature of $300 \ K$. Find the concentration in $mol/L$.

The osmotic pressure of a dilute solution is given by

What is the molar mass of a solute if a solution is prepared by dissolving $4.5 \ g$ of solute in $3 \ dm^3$ of water having an osmotic pressure of $0.25 \ atm$ at $300 \ K$? $(R = 0.0821 \ dm^3 \ atm \ K^{-1} \ mol^{-1})$

Which of the following conditions is correct for reverse osmosis? [$C =$ Concentration of solution in $mol \ L^{-1}$; $T =$ Temperature in Kelvin scale; $P_{ext} =$ External pressure; $\pi = CRT =$ Osmotic pressure]