Calculate the concentration of an aqueous solution of non electrolyte at 300 K if its osmotic pressure is 12 atm . [ R =0.0821 ~atm dm ^3 ~K ⁻¹ ~mol ⁻¹ ]

Step-by-step solution

The concentration is determined using the Van't Hoff equation for osmotic pressure: = CRT , where = 12 atm , T = 300 K , and R = 0.0821 atm dm ^3 K ⁻¹ mol ⁻¹ . Rearranging gives C = RT = 12 0.0821 300 . Calculating the denominator: 0.0821 300 = 24.63 , so C = 12 24.63 0.4872 mol dm ⁻³ . This corresponds to 0.487 M , matching option B .