State the formula for osmotic pressure and provide examples.

Calculate the molar mass of a solute at $300 \ K$ if $400 \ mg$ of it is dissolved in $300 \ mL$ of water to exert an osmotic pressure of $0.2 \ atm$. $(R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1})$

If $20 \ g$ of a solute was dissolved in $500 \ mL$ of water and the osmotic pressure of the solution was found to be $600 \ mm$ of $Hg$ at $15 \ ^oC$,then the molecular weight of the solute is:

Arrange the following solutions according to decreasing order of osmotic pressure under similar conditions of temperature,assuming complete dissociation:
$A. 0.2 \ m \ KCl$
$B. 0.3 \ m \ MgSO_4$
$C. 0.1 \ m \ BaCl_2$
$D. 0.5 \ m \ Al_2(SO_4)_3$

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:

$FeCl_3$ reacts with $K_4[Fe(CN)_6]$ in aqueous solution to give a blue color. These solutions are separated by a semipermeable membrane $(SPM)$ as shown in the figure. Due to osmosis,there is: