138 Chapter 6
Pure water has an osmotic pressure of zero, and a 360 g/L
glucose solution has twice the osmotic pressure of a 180 g/L
glucose solution ( fig. 6.9 b ).
Molarity and Molality
Glucose is a monosaccharide with a molecular weight of 180
(the sum of its atomic weights). Sucrose is a disaccharide of
glucose and fructose, which have molecular weights of 180
each. When glucose and fructose join together by dehydra-
tion synthesis to form sucrose, a molecule of water (molecular
weight 5 18) is split off. Therefore, sucrose has a molecular
weight of 342 (180 1 180 2 18). Because the molecular weights
of sucrose and glucose are in a ratio of 342/180, it follows that
342 grams of sucrose must contain the same number of mol-
ecules as 180 grams of glucose.
Notice that an amount of any compound equal to its
molecular weight in grams must contain the same number of
molecules as an amount of any other compound equal to its
molecular weight in grams. This unit of weight, a mole, always
contains 6.02 3 10 23 molecules (Avogadro’s number). One
mole of solute dissolved in water to make 1 liter of solution
is described as a one-molar solution (abbreviated 1.0 M ).
Although this unit of measurement is commonly used in chem-
istry, it is not completely desirable in discussions of osmosis
because the exact ratio of solute to water is not specified. For
example, more water is needed to make a 1.0 M NaCl solution
(where a mole of NaCl weighs 58.5 grams) than is needed to
make a 1.0 M glucose solution, since 180 grams of glucose
takes up more volume than 58.5 grams of salt.
Clinical Investigation CLUES
Jessica took a diuretic that promotes urinary water loss,
and had glucose in her urine.
- How would loss of water because of the diuretic
affect her plasma concentration and osmotic
pressure? - How would the presence of an extra solute—
glucose—in the urine affect the urine’s osmotic
pressure and tendency to draw water by osmosis?
Figure 6.9 Osmotic pressure. Sacs composed of a semipermeable membrane, permeable to water but not to the solute
(sucrose), are suspended in beakers containing pure water. Each sac is surrounded by a rigid box. ( a ) Water enters each sac by
osmosis, but the 360 g/L sucrose solution draws water in more rapidly than the 180 g/L sucrose solution. ( b ) Each sac expands until
it presses against its surrounding box with enough force to stop further osmosis. The force required to stop osmosis, the osmotic
pressure, is twice as great for the 360 g/L sucrose solution as the 180 g/L solution.
180 g/L
sucrose
H 2 O
H 2 O
H 2 O H^2 O
H 2 O
H 2 O
H 2 O
H 2 O
H 2 O H 2 O
(a)
H 2 O
H 2 O
360 g/L
sucrose
Solution
initially
180 g/L
No osmosis
Solution
initially
360 g/L
No osmosis
(b)
CLINICAL APPLICATION
In contrast to other plasma solutes, plasma proteins cannot
pass freely through the capillary pores into the interstitial
fluid. As a result, the protein concentration of the plasma is
higher than that of interstitial fluid, making plasma proteins
osmotically active; their osmotic pressure difference draws
water from the interstitial tissue into the capillary blood. If
a person has an abnormally low concentration of plasma
proteins, excessive accumulation of fluid in the tissues—
a condition called edema— will result. This may occur, for
example, when a damaged liver (as in cirrhosis) is unable to
produce sufficient albumin, the major protein in the blood
plasma.