MHT CET202525 Apr 2025Morning ShiftChemistrySolutionsActual
Which from following pairs of solutions in water exhibits same osmotic pressure at same temperature ? [ . molar mass of urea =60 ~g ~mol ⁻¹ , sucrose .=342 ~g ~mol ⁻¹ ]
Options
- A3 ~g ~L ⁻¹ urea and 17 1 ~g ~L ⁻¹ sucrose
- B6 ~g ~L ⁻¹ urea and 17 1 ~g ~L ⁻¹ sucrose
- C3 ~g ~L ⁻¹ urea and 34.2 ~g ~L ⁻¹ sucrose
- D6 ~g ~L ⁻¹ urea and 8.6 ~g ~L ⁻¹ sucrose
Correct answer
A. 3 ~g ~L ⁻¹ urea and 17 1 ~g ~L ⁻¹ sucrose
Step-by-step solution
Osmotic pressure for a solution is given by = iCRT , where C is the molar concentration, R is the gas constant, and T is the temperature. For non-electrolytes like urea and sucrose, the van't Hoff factor i = 1 . Two solutions exhibit the same osmotic pressure when their molar concentrations are equal, assuming constant T . The concentration for each option is calculated as C = mass in g/L molar mass in g/mol . Molar mass of urea is 60 g/mol , and sucrose is 342 g/mol . Option A: C_ urea = 3 60 = 0.05 mol/L , C_ suc