Answered: The osmotic pressure of an aqueous…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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The osmotic pressure of an aqueous solution of a protein was found to be 1.25 mm Hg when
3.0 mg of the protein were used at 25 °C. What is the molar mass of the protein?

Expert Solution

Data given:

Osmotic pressure of the solution ( $π$ ) = 1.25 mm Hg

760 mm Hg is 1 atm

Therefore, 1.25 mm Hg is equal to $\frac{1.25}{760}$ = 1.645 $\times 10^{- 3}$ atm

Temperature of the solution (T) = 25 ^oC or (273 +25) K = 298 K

Mass of the protein (m_protein) = 3.0 mg or 3.0 $\times 10^{- 3}$ g

Osmotic pressure of protein solution ( $π$ ) = C $\times R \times T$

( $π$ ) = C $\times R \times T$

Where R= universal gas constant = 0.0821 atm L K^-1 mol^-1

^{( $π$ ) = $\frac{m a s s o f p r o t e i n}{M o l a r m a s s o f p r o t e i n} \times R \times T$}

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