The osmotic pressure of blood is 7 . 47 bar at 300   K . To inject glucose to a patient intravenously,…

Osmotic pressure, $\mathrm{\pi }=\mathrm{iCRT}$

$\mathrm{i}=$ van't hoff factor

$\mathrm{C}=$ concentration in molarity

$\mathrm{R}=$ universal gas constant

$\mathrm{T}=$ temperature

$\mathrm{C}=$ Molarity

$=\frac{\mathrm{moles}}{\mathrm{Litre}}$

$=\frac{\mathrm{\omega }}{\mathrm{GM\omega }}/\mathrm{Litre}$

$\mathrm{\pi }=\mathrm{iCRT}$

$\mathrm{i}=1 \mathrm{for} \mathrm{glucose}$ as it neither associates nor dissociates in solution.

$7.47=1\times \mathrm{C}\times 0.083\times 300$

$7.47=1\times \frac{\omega }{180}\times 0.083\times 300$

$\mathrm{\omega }=\frac{7.47\times 180}{0.083\times 300}=54 \mathrm{g}/\mathrm{Lit}$