If osmotic pressure of 4% (w/v) solution of sucrose is same as 2% (w/v) solution of 'X’, then the molecular mass of X (g/mol) is (JIPMER 2018)

4% solution of sucrose (w/v) means 4g of sucrose is dissolved in 100 mL of solution. Similarly, 2% (w/v) solution of 'X means 2g of X present in 100 mL of solution. As we know that, osmotic pressure n CRT or RT. V where, n = number of moles of solute. Since, 1 (for sucrose solution) 2 (for X solution) 1 2 1 2 n n RT RT V V 4 2 342 Molecular weight Mass of solute n Molar massof solute >> 2 Molecular weight 342 4 >> x Molecular weight 1 171gmol