II = [B]RT (1 +b. [B}) п = RT + bRT. [B] [B] II св RT + bRT. MA /MA II RT bRT Св MA св MA II In this equation molar mass of given biomolecule can be determined from the intercept of Св vs. CB plot. The osmotic pressures of solutions of a protein at 25°C were as follows: св 0.5 1.0 1.5 2.0 2.5 |(gL) II (Pa) 40.0 11 20 33 490 What is the molar mass of the protein?

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
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9) Osmosis helps biological cells maintain their structure. Cell membranes are semipermeable
and allow water, small molecules, and hydrated ions to pass, while blocking the passage of
biopolymers synthesized inside the cell. The difference in concentrations of solutes inside and
outside the cell gives rise to an osmotic pressure, and water passes into the more concentrated
solution in the interior of the cell, carrying small nutrient molecules. The influx of water also
keeps the cell swollen, whereas dehydration causes the cell to shrink. These effects are important
in everyday medical practice. To maintain the integrity of blood cells, solutions that are injected
into the bloodstream for blood transfusions and intravenous feeding must be isotonic with the
blood, meaning that they must have the same osmotic pressure as blood. If the injected solution
is too dilute, or hypotonic, the flow of solvent into the cells, required to equalize the osmotic
pressure, causes the cells to burst and die by a process called hemolysis. If the solution is too
concentrated, or hypertonic, equalization of the osmotic pressure requires flow of solvent out of
the cells, which shrink and die.
Osmosis also forms the basis of dialysis, a common technique for the removal of impurities from
solutions of biological macromolecules. In a dialysis experiment, a solution of macromolecules
containing impurities, such as ions or small molecules (including small proteins or nucleic acids),
is placed in a bag made of a material that acts as a semipermeable membrane and the fi lled bag
is immersed in a solvent. The membrane permits the passage of the small ions and molecules but
not the larger macromolecules, so the former migrate through the membrane, leaving the
macromolecules behind. In practice, purification of the sample requires several changes of
solvent to coax most of the impurities out of the dialysis bag.
Osmometry is the determination of molar mass by the measurement of osmotic pressure. The
simple form of van't Hoff equation is:
II = [B] RT
In this equation the [B] is the molar concentration of solute. So:
m
[B]
V
CB/MA
MAV
Transcribed Image Text:9) Osmosis helps biological cells maintain their structure. Cell membranes are semipermeable and allow water, small molecules, and hydrated ions to pass, while blocking the passage of biopolymers synthesized inside the cell. The difference in concentrations of solutes inside and outside the cell gives rise to an osmotic pressure, and water passes into the more concentrated solution in the interior of the cell, carrying small nutrient molecules. The influx of water also keeps the cell swollen, whereas dehydration causes the cell to shrink. These effects are important in everyday medical practice. To maintain the integrity of blood cells, solutions that are injected into the bloodstream for blood transfusions and intravenous feeding must be isotonic with the blood, meaning that they must have the same osmotic pressure as blood. If the injected solution is too dilute, or hypotonic, the flow of solvent into the cells, required to equalize the osmotic pressure, causes the cells to burst and die by a process called hemolysis. If the solution is too concentrated, or hypertonic, equalization of the osmotic pressure requires flow of solvent out of the cells, which shrink and die. Osmosis also forms the basis of dialysis, a common technique for the removal of impurities from solutions of biological macromolecules. In a dialysis experiment, a solution of macromolecules containing impurities, such as ions or small molecules (including small proteins or nucleic acids), is placed in a bag made of a material that acts as a semipermeable membrane and the fi lled bag is immersed in a solvent. The membrane permits the passage of the small ions and molecules but not the larger macromolecules, so the former migrate through the membrane, leaving the macromolecules behind. In practice, purification of the sample requires several changes of solvent to coax most of the impurities out of the dialysis bag. Osmometry is the determination of molar mass by the measurement of osmotic pressure. The simple form of van't Hoff equation is: II = [B] RT In this equation the [B] is the molar concentration of solute. So: m [B] V CB/MA MAV
In this equation the [B] is the molar concentration of solute. So:
п
m
[B] =
CB/MA
V
MAV
Where cp the mass concentration of the solute is in the total volume of solution and MA is the
molar mass of the solute. This equation can be replaced in the previous one to get:
RT
п
-CB
MA
In this equation molar mass of given solute can be determined from the slope of the II vs cB plot.
This equation applies only to solutions that are sufficiently dilute to behave as ideal-dilute
solutions. In the case of non-ideal solutions, however, the extended formula is:
II = [B] RT{1+ k. [B] + n. [B]²
Biological macromolecules dissolve to produce solutions that are far from ideal, but we can still
calculate the osmotic pressure by assuming that the van't Hoff equation is only the first term of a
lengthier expression:
II = [B]RT (1+b. [B])
II
= RT + bRT. [B]
[B]
II
RT + bRT. CB
MA
ca/MA
RT
bRT
CB
МА
св
MA
In this equation molar mass of given biomolecule can be determined from the intercept of
Св
vs. CB plot.
The osmotic pressures of solutions of a protein at 25°C were as follows:
св
0.5
1.0
1.5
2.0 2.5
(gL)
II (Pa)
40.0 11
20
33
490
What is the molar mass of the protein?
Transcribed Image Text:In this equation the [B] is the molar concentration of solute. So: п m [B] = CB/MA V MAV Where cp the mass concentration of the solute is in the total volume of solution and MA is the molar mass of the solute. This equation can be replaced in the previous one to get: RT п -CB MA In this equation molar mass of given solute can be determined from the slope of the II vs cB plot. This equation applies only to solutions that are sufficiently dilute to behave as ideal-dilute solutions. In the case of non-ideal solutions, however, the extended formula is: II = [B] RT{1+ k. [B] + n. [B]² Biological macromolecules dissolve to produce solutions that are far from ideal, but we can still calculate the osmotic pressure by assuming that the van't Hoff equation is only the first term of a lengthier expression: II = [B]RT (1+b. [B]) II = RT + bRT. [B] [B] II RT + bRT. CB MA ca/MA RT bRT CB МА св MA In this equation molar mass of given biomolecule can be determined from the intercept of Св vs. CB plot. The osmotic pressures of solutions of a protein at 25°C were as follows: св 0.5 1.0 1.5 2.0 2.5 (gL) II (Pa) 40.0 11 20 33 490 What is the molar mass of the protein?
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