Calculate the osmotic pressure of 0.5 M aqueous solution of nonvolatile solute at 300 ~K [ R =0.0821 ~atm~ dm ^3 ~K ⁻¹ ~mol ⁻¹ ]

Step-by-step solution

The osmotic pressure is determined using the van't Hoff equation: = iCRT . Given a 0.5 M non-electrolyte solution at 300 K , the van't Hoff factor is i = 1 . Substituting C = 0.5 , R = 0.0821 , and T = 300 yields = 1 0.5 0.0821 300 . This simplifies to = 12.315 atm , or 12.32 atm when rounded. The value matches option B .