X is an electrolyte with a concentration of 0.04 M whose formula is of the type X ₂ ~A . Y is a non-electrolyte solution with a concentration of 0.2 M and has an osmotic pressure equal to P ₂ at room temperature. What is the relationship between the Osmotic pressure of X and P ₂ ?

Step-by-step solution

The osmotic pressure of a solution is given by the formula = iCRT , where i is the van't Hoff factor, C is the molar concentration, R is the gas constant, and T is the temperature. For the electrolyte X₂A , it dissociates as X₂A 2X⁺ + A²⁻ . The number of ions produced per formula unit is n = 3 . Assuming complete dissociation, the van't Hoff factor i = 3 . Given C_X = 0.04 M , the osmotic pressure is = 3 0.04 RT = 0.12 RT . For the non-electrolyte Y , the van't Hoff factor i = 1 . Given C_Y = 0.2 M , the osmotic pr