Question

What is the osmotic pressure in atm of a 0.002m sucrose (C12H22011) solution at 20-degree celsius? use gas constant R=0.08210 L x atm/mol x k

Answer 1

$\Pi=$ icRT

Where $\Pi=$ osmotic pressure

$i=$ Van't Hoff index

$c=$ molar concentration of solute

$R=$ ideal gas constant

$T=$ Temperature in Kelvin

$i=\alpha\>n+(1-\alpha)$

Sucrose does not dissociate in water

$\implies\>\alpha=0$

$\therefore\>i=1$

$\Pi=1×0.002×0.08210×(273+20)\\=0.048atm$