At a constant temperature,the osmotic pressures of a $1.5 \ M \ NH_4NO_3$ aqueous solution and an $x \ M \ Al_2(SO_4)_3$ aqueous solution are approximately equal. Find the value of $x$. (Assume $100 \%$ dissociation of the solute in the solution.)

At $300 \ K$,the osmotic pressure of a solution containing $36 \ g$ of glucose per liter is $4.98 \ bar$. If the osmotic pressure of the solution is $1.52 \ bar$ at the same temperature,what will be its concentration (in $M$)?

$1.46 \, g$ of a biopolymer dissolved in a $100 \, mL$ water at $300 \, K$ exerted an osmotic pressure of $2.42 \times 10^{-3} \, bar$.
The molar mass of the biopolymer is $..... \times 10^{4} \, g \, mol^{-1}$. (Round off to the Nearest Integer)
[Use : $R = 0.083 \, L \, bar \, mol^{-1} \, K^{-1}$ ]

The osmotic pressure of a $1 \ M$ solution at $27^{\circ}C$ is $(R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1})$: (in $atm$)

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 $g$)

Which one of the following is an isotonic pair of solutions?