Answered: A solution containing polymer of an…

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter13: The Chemistry Of Solutes And Solutions

Section: Chapter Questions

Problem 81QRT

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Question

A solution containing polymer of an unknown structure, and with an approximate molar mass of 1.75 x 10^4 g/mol dissolved in 170 mL of an organic solvent was found to have an osmotic pressure of 5.20 mm Hg at 25 degrees celsius. What is the weight of the polymer?

Expert Solution

Step 1

We are here given that

$m o l a r m a s s o f u n k o w n s t r u c t u r e = 1.75 \times 10^{4} g / m o l v o l u m e o f o r g a n i c s o l v e n t = 170 m l o s m o t i c p r e s s u r e = 5.20 m m H g t e m p e r a t u r e = 25 ° C$

Step 2

we know osmotic pressure is given as

$π = M RT where M = m o l a l i t y of solute R = gas constant T = temperature$

osmotic pressure

$π = 5.20 mmHg = \frac{5.20 mmHg}{760 mmHg} \times 1 atm = 0.0068 atm Temperature = 25 + 273 = 298 K$

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