$A$ $5 \%$ solution of cane sugar (mol. wt. $= 342$) is isotonic with $1 \%$ solution of a substance $X$. The molecular weight of $X$ is

Explain reverse osmosis and the purification of water.

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:

The osmotic pressure (in $atm$) of an aqueous solution containing $0.01 \ mol$ of $NaCl$ (degree of dissociation $0.94$) and $0.03 \ mol$ of glucose in $500 \ mL$ at $27^{\circ} C$ is $\left(R=0.082 \ L \ atm \ K^{-1} \ mol^{-1}\right)$

What is the osmotic pressure of a semi-molar solution at $27^{\circ} C$ (in $atm$)?
$(R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1})$

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 $300 \ K$? $(R = 0.0821 \ dm^3 \ atm \ K^{-1} \ mol^{-1})$