Answered: The osmotic pressure of an aqueous…

Chemistry by OpenStax (2015-05-04)

1st Edition

ISBN:9781938168390

Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser

Publisher:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser

Chapter11: Solutions And Colloids

Section: Chapter Questions

Problem 60E: The osmotic pressure of a solution containing 7.0 g of insulin per liter is 23 torr at 25 C. What is...

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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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