Of an unknown protein are dissolved in enough solvent to make 5.00mL of solution. The osmotic pressure of this solution is measured to be 0.0604atm at 25.0°C. Calculate the molar mass of the protein. Be sure your answer has the correct number of significant digits.

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0.100 g of an unknown protein are dissolved in enough solvent to make 5.00mL of solution. The osmotic pressure of this solution is measured to be 0.0604atm at 25.0°C. Calculate the molar mass of the protein. Be sure your answer has the correct number of significant digits.

The molar mass of the protein is 8097.2 g/mol

Explanation:

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

where,

= osmotic pressure of the solution = 0.0604 atm

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

c = 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 = 0.00247 M

Given mass of protein = 0.100 g

Volume of solution = 5.00 mL

Putting values in above equation, we get:

Hence, the molar mass of the protein is 8097.2 g/mol

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