Solutions · JEE Advanced previous year questions

2023 1 question

1. Q462023 · 4 Jun 2023 · Paper 2· Numerical answer

   $50\text{ mL}$ of $0.2\text{ molal}$ urea solution ($\text{density}=1.012{\text{ g mL}}^{-1}$ at $300\text{ K}$) is mixed with $250\text{ mL}$ of a solution containing $0.06\text{ g}$ of urea. Both the solutions were prepared in the same solvent. The osmotic pressure (in $\text{Torr}$) of the resulting solution at $300\text{ K}$ is _____. [Use: Molar mass of urea $=60{\text{ g mol}}^{-1}$; gas constant, $\mathrm{R}=62{\text{ L Torr K}}^{-1}{\text{ mol}}^{-1}$ ; Assume, ${\Delta }_{\mathrm{mix}}\mathrm{H}=0$, ${\Delta }_{\mathrm{mix}}\mathrm{V}=0$]

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   Answer: 682