Lysozyme extracted from chicken egg white has a molar mass of 13,930 g mo1-1. exactly 0.1 g of this protein is dissolved in 50 g of water at 298 k. calculate the vapor pressure lowering, the depression in freezing point, the elevation of boiling point, and the osmotic pressure of this solution. the vapor pressure of pure water at 298 k is 23. 76 mmhg.

Relative lowering in vapor pressure of solution is 23.7599 mmHg.

Depression in freezing point of the solution is 0.0002667 K.

Elevation in boiling point of the solution is 0.0000745 K.

Osmotic pressure of the solution is 0.0035 atm.

Explanation:

1) Relative lowering in vapor pressure of solution containing non volatile solute is equal to the mole fraction of the solute.

= Vapor Pressure of the pure solvent

= Vapor Pressure of the solution

moles of solute

= moles of solvent

Given;

Moles of Lysozyme =

Moles of water =

2) Depression in freezing point is given by:

= molal depression constant of solvent

m = molality of the solution =

3) Elevation in boiling point is given by:

= molal elevation constant of solvent

m = molality of the solution =

4) Osmotic pressure of the solution is given as:

c = concentration of solution =

T = temperature of the solution

R = Universal gas constant = 0.0821 atm L/mol K

given , T = 298 K,

Mass of water = 50 g

Density of water = 1 g/ml

Volume of the water =

Since, there is less amount of solute in solvent volume of solution can be taken equal to the volume to the solution.

the correct answer would be b) volume versus temperature, because they are also directly proportional.