Calculate the temperature of 0.05 M sucrose solution in Kelvin if the osmotic pressure of the solution is 1.5 atm. [ R =0.0821 dm ^3 ~atm ~K ~K ⁻¹ ~mol ⁻¹ ]

Step-by-step solution

Using the osmotic pressure formula: = iCRT where sucrose is non-electrolyte ( i = 1 ). Rearranging for temperature: T = iCR . Substituting = 1.5 atm , C = 0.05 M , R = 0.0821 L·atm·K ⁻¹ ·mol ⁻¹ : T = 1.5 1 0.05 0.0821 = 1.5 0.004105 365.4079 K . Rounded to one decimal place: 365.4 K , matching option D .