Calculate the molar mass of solute in a solution prepared by dissolving $1 \ g$ in $0.3 \ dm^3$ solvent having osmotic pressure $0.2 \ atm$ at $300 \ K$. $\left[R=0.082 \ dm^3 \ atm \ K^{-1} \ mol^{-1}\right]$

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]

If a $6.84\% \ (w/v)$ solution of sucrose (molar mass $342 \ g/mol$) is isotonic with a $1.52\% \ (w/v)$ solution of thiocarbamide,what is the molar mass of thiocarbamide?

Given below are two statements:
Statement $I$: $H_2O$ molecules move from the chamber $1$ to chamber $2$.
Statement $II$: The osmotic pressure of a solution prepared by dissolving $50 \text{ mg}$ of potassium sulphate (molar mass = $174 \text{ g/mol}$) in $2 \text{ L}$ of water (at $27^{\circ}C$) is $0.0107 \text{ bar}$. (Given: $R = 0.083 \text{ dm}^3 \text{ bar K}^{-1} \text{ mol}^{-1}$ and assume complete dissociation of electrolyte).
In the light of the above statements, choose the correct answer from the options given below:

Find the amount of solute in a solution obtained by dissolving it in $2.5 \ dm^3$ of water that generates an osmotic pressure of $0.245 \ atm$ at $300 \ K$. (Molar mass of solute $= 58 \ g \ mol^{-1}$,$R = 0.0821 \ dm^3 \ atm \ K^{-1} \ mol^{-1}$) (in $g$)

The correct relationship between the osmotic pressure of $0.1 \ M \ NaCl$ and $0.1 \ M \ Na_2SO_4$ is ......