4% solution of a non volatile solute is isotonic with 0.702% urea solution. If molar mass of urea is 60.What is the molar mass of the non volatile solute.
Isotonic solution means the solution have same osmotic pressure.
Osmotic pressure,
0.702 % urea solution means 0.702 g urea is dissolved in 100 mL.
mass of urea = 0.702 g
Molar mass of urea = 60 g mol-1
Number of moles = 0.702 / 60
Osmotic pressure of urea solution,
For a non-volatile solution
4% solution means 4 g non-volatile solute is dissolved in 100 mL or 0.1 L.
Mass of Non-volatile solute = 4 g
Volume of solution = 0.1 L
Number of moles = 4 / M
where M is molar mass of non-volatile solute.
Osmotic pressure of non-volatile solution,
Equating the osmotic pressures
Molar mass of non-volatile solute = 341.88 g mol-1
Osmotic pressure,
0.702 % urea solution means 0.702 g urea is dissolved in 100 mL.
mass of urea = 0.702 g
Molar mass of urea = 60 g mol-1
Number of moles = 0.702 / 60
Osmotic pressure of urea solution,
For a non-volatile solution
4% solution means 4 g non-volatile solute is dissolved in 100 mL or 0.1 L.
Mass of Non-volatile solute = 4 g
Volume of solution = 0.1 L
Number of moles = 4 / M
where M is molar mass of non-volatile solute.
Osmotic pressure of non-volatile solution,
Equating the osmotic pressures
Molar mass of non-volatile solute = 341.88 g mol-1