COMEDK2025ChemistrySolutionsActual
An aqueous solution of volume V ml contains a non-volatile solute of unknown mass W_B ~g and molar mass M_B ~g / mol . If the Osmotic pressure of the solution is 1.013 bar , which one of the following is the mathematical expression to be used to calculate W_B ?
Options
- AW_B= M _ B V 1000 76 RT
- BW_B= M _ B V RT
- CW_B= M _ B V 760 * RT * 1000
- DW_B= M _ B V 1000 RT
Correct answer
D. W_B= M _ B V 1000 RT
Step-by-step solution
The osmotic pressure of a solution is given by the van't Hoff equation: = CRT , where C is the molar concentration of the solute in mol/L, R is the universal gas constant, and T is the temperature in Kelvin. The molar concentration C is defined as the number of moles of solute n_B divided by the volume of the solution V_L in liters. Given the mass of the solute W_B in grams and its molar mass M_B in g/mol, the number of moles is n_B = W_B M_B . The volume of the solution is given as V ml. Converting this to liters,