Aprotein subunit from an enzyme is part of a research study and needs to be characterized. a total of 0.150 g of this subunit was dissolved in enough water to produce 2.00 ml of solution. at 28 ∘c the osmotic pressure produced by the solution was 0.138 atm. what is the molar mass of the protein?

The molar mass of the protein is 13392.86 g/mol

Explanation:

To calculate the concentration of solute, we use the equation for osmotic pressure, which is:

where,

= osmotic pressure of the solution = 0.138 atm

i = Van't hoff factor = 1 (for non-electrolytes)

M = molarity of solute = ?

R = Gas constant =

T = temperature of the solution =

Putting values in above equation, we get:

To calculate the molecular mass of solute, we use the equation used to calculate the molarity of solution:

We are given:

Molarity of solution = 0.0056 M

Given mass of protein = 0.150 g

Volume of solution = 2 mL

Putting values in above equation, we get:

Hence, the molar mass of the protein is 13392.86 g/mol

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