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A 268 mg sample of an unknown protein was dissolved in enough solvent to produce 5.00 mL of a solution. The osmotic pressure of this solution was measured and found to be 0.0643 atm at 25°C. What is the molar mass of the protein?

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Final answer:

To calculate the molar mass of a protein using osmotic pressure, we need to know the concentration of the solution. Without that information, we cannot determine the molar mass.

Step-by-step explanation:

To calculate the molar mass of a protein, we can use the ideal gas equation and the concept of osmotic pressure. The formula for osmotic pressure is given by the equation: π = MRT, where π is the osmotic pressure, M is the molar concentration, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert the mass of the protein into moles. We can do this by dividing the mass (in grams) by the molar mass (in grams per mole). Next, we convert the volume of the solution from milliliters to liters by dividing by 1000. Finally, we can substitute the given values into the formula for osmotic pressure and solve for the molar mass of the protein.

Using the given values of 0.0643 atm for osmotic pressure, 25 °C for temperature, and 5.00 mL for volume, we can solve for the molar mass of the protein. However, the question provided does not give the concentration of the solution, so we cannot calculate the molar mass without that information.

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