At $27^{\circ}C$,a solution containing $2.5 \ g$ of solute in $250.0 \ mL$ of solution exerts an osmotic pressure of $400 \ Pa$. The molar mass of the solute is $.............. \ g \ mol^{-1}$ (Nearest integer) (Given: $R = 0.083 \ L \ bar \ K^{-1} \ mol^{-1}$)

  • A
    $62240$
  • B
    $62258$
  • C
    $62240$
  • D
    $62250$

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$50 \ mL$ of $0.2$ molal urea solution (density $= 1.012 \ g \ mL^{-1}$ at $300 \ K$) is mixed with $250 \ mL$ of a solution containing $0.06 \ g$ of urea. Both the solutions were prepared in the same solvent. The osmotic pressure (in Torr) of the resulting solution at $300 \ K$ is . . . . . $[\Delta_{mix} V = 0]$

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