Solutions · JEE Advanced previous year questions

2025 1 question

1. Q452025 · 18 May 2025 · Paper 2· Numerical answer

   At $300\text{ K}$, an ideal dilute solution of a macromolecule exerts osmotic pressure that is expressed in terms of the height ($\mathrm{h}$) of the solution ($\text{density}=1.00{\text{ g cm}}^{-3}$) where $\mathrm{h}$ is equal to $2.00\text{ cm}$. If the concentration of the dilute solution of the macromolecule is $2.00{\text{ g dm}}^{-3}$, the molar mass of the macromolecule is calculated to be $\mathbf{X}\times 10^4{\text{ g mol}}^{-1}$. The value of $\mathbf{X}$ is _________. $\text{Use:}$ Universal gas constant $(\mathrm{R})=8.3{\text{ J K}}^{-1}{\text{ mol}}^{-1}$ and acceleration due to gravity $(\mathrm{g})=10{\text{ m s}}^{-2}$

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   Answer: 2.4 to 2.55