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?A protein has been isolated as a salt with the formula \(N a_{20} P\) (this notation

Chapter 12, Problem 97P

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QUESTION:

A protein has been isolated as a salt with the formula \(N a_{20} P\) (this notation means that there are 20 \(\mathrm{Na}^{+}\) ions associated with a negatively charged protein \(P^{20-}\)). The osmotic pressure of a 10.0-ml solution containing 0.225 g of the protein is 0.257 atm at 25.0°C. (a) Calculate the molar mass of the protein from these data. (b) Calculate the actual molar mass of the protein.

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QUESTION:

A protein has been isolated as a salt with the formula \(N a_{20} P\) (this notation means that there are 20 \(\mathrm{Na}^{+}\) ions associated with a negatively charged protein \(P^{20-}\)). The osmotic pressure of a 10.0-ml solution containing 0.225 g of the protein is 0.257 atm at 25.0°C. (a) Calculate the molar mass of the protein from these data. (b) Calculate the actual molar mass of the protein.

ANSWER:

Step 1 of 7

Osmotic pressure is the pressure required to prevent the flow of solvent from a region of high concentration to a region of low concentration across a semipermeable membrane. It is determined by the concentration of solute particles in a solution and is proportional to the concentration of solute particles.

where  is the molarity of solution,  is the gas constant , and  is the absolute temperature. The osmotic pressure, , is expressed in atm. Because osmotic pressure measurements are carried out at constant temperature, we express the concentration in terms of the more convenient units of molarity rather than molality.

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