Northern cod produce proteins that protect their cells from damage caused by subzero temperatures. Measurements of the osmotic pressure for two "antifreeze" proteins at 18°C yielded the data listed below. Use this information to calculate the molar mass for each of the proteins. Assume these proteins are nonelectrolytes and use the value i = 1. Required:
If a 54.1 mg sample of protein A in 1.5 mL of water has an osmotic pressure of 0.285 atm, what is the molar mass of protein A?

The molar mass of protein A is 3023.41 g/mol.

Explanation:

To calculate the osmotic pressure, we use the formula:

              OR

     .....(1)

Where,

= osmotic pressure = 0.285 atm

i = 1

Given mass of protien (solute) = 54.1 mg = 0.0541 g        (Conversion factor: 1 g = 1000 mg)

Volume of solution = 1.5 mL

R = Gas constant = 0.0821 L.atm/mol.K

T = temperature =

Plugging values in equation 1:

Hence, the molar mass of protein A is 3023.41 g/mol.

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