Concept explainers
Interpretation:
The molar mass of protein and actual mass of protein is to be calculated with given mass, volume, pressure, and temperature.
Concept Introduction:
The property that depends on the concentration of solute molecules and not on the identity of solute is termed as colligative property.
The four colligative properties of solution are vapor-pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure.
Osmotic pressure (πp) of a solution is the product of molarity, gas constant, and temperature. It is expressed as follows:
Here,
The molarity of a solution can be expressed as
Here,
The molar mass of the protein is calculated as
Here,
Answer to Problem 149AP
Solution:
(a)
(b)
Explanation of Solution
a) The molar mass of protein from given data
Calculate the molarity of the solution using the equation given below:
Substitute
This is the concentration of all the ions. The moles of solute dissolved are calculated as
Here,
Rearrange the above equation and substitute the values of molarity and volume:
The molar mass of the protein is calculated as
Here,
Substitute
Therefore, the molar mass of protein is
b) The actual molar mass of protein
Protein is a strong electrolyte. The Van’t Hoff factor will be
Calculate the molarity of the solution using the equation given below:
Substitute
This is the actual concentration of the protein. The moles of solute dissolved are calculated as
Here,
Rearrange the above equation and substitute the values of molarity and volume
The actual molar mass is calculated as
Here,
Substitute
Therefore, the molar mass of protein is
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