Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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?

Sagot :

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

Explanation:

To calculate the osmotic pressure, we use the formula:

[tex]\pi=i\times M\times R\times T[/tex]

              OR

[tex]\pi=i\times \frac{\text{Given mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution}}\times R\times T[/tex]      .....(1)

Where,

[tex]\pi[/tex] = 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 = [tex]18^oC=[18+273]=291K[/tex]

Plugging values in equation 1:

[tex]0.285atm=1\times \frac{0.0541\times 1000}{\text{Molar mass of protein}\times 1.5}\times 0.0821L.atm/mol.K\times 291K\\\\\text{Molar mass of protein}=\frac{1\times 0.0541\times 1000\times 0.0821\times 291}{0.285\times 1.5}\\\\\text{Molar mass of protein}=3023.41g/mol[/tex]

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

pstnonsonjoku

The molar mass of the protein is  3018 g/mol.

We know that the osmotic pressure is obtained using the formula;

Osmotic pressure = iMRT

  • i = Van't Hoff factor
  • M = molar concentration
  • R = gas constant
  • T = absolute temperature

concentration of the  protein = 54.1 * 10^-3g/M/ 1.5 * 10^-3 L

Where M = molar mass of the protein

So;

0.285 atm =  54.1 * 10^-3g/ 1.5 * 10^-3 L M * 0.0821 L.atm/mol.K * 291 K

0.285  = 1.29/1.5 * 10^-3M

M = 1.29/0.285 * 1.5 * 10^-3

M = 3018 g/mol

Learn more about osmotic pressure: https://brainly.com/question/4631715

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.