HomeLearning HubIB DP BiologyD2.3 Water potential
D2.3

Water potential

Theme D · Continuity and change · Cells · SL and HL · plus additional higher level

Water moves into and out of cells constantly, and whether a cell swells, shrinks, bursts or stays firm depends on which way the water goes. At SL, the direction is predicted from solute concentrations, using the terms hypotonic, hypertonic and isotonic. At HL, it is predicted more precisely using water potential, which also takes pressure into account. The potato-cylinder experiment on this page is the classic practical, and its data analysis — percentage change, interpolation, standard error — is examined as often as the biology.

🎯What you need to be able to do

  • Explain solvation, including hydrogen bonding with solutes and attraction to ions.
  • Describe water movement using the terms hypotonic, hypertonic and isotonic, and in terms of solute concentration.
  • Predict the net movement of water into or out of a cell, and explain dynamic equilibrium in isotonic conditions.
  • Measure changes in length and mass of plant tissue, deduce the isotonic concentration, and use standard deviation and standard error.
  • Explain the effects of water movement on cells without walls, including contractile vacuoles, and on cells with walls.
  • Outline medical uses of isotonic solutions.
  • AHL Define water potential and explain why water moves from higher to lower water potential.
  • AHL Use \( \psi_{\mathrm{w}} = \psi_{\mathrm{s}} + \psi_{\mathrm{p}} \), and explain changes in plant tissue in hypotonic and hypertonic solutions.

📚The biology

Solvation

Solvation is the process by which solute particles become surrounded by solvent molecules and dissolve. With water as the solvent:

  • polar solutes such as glucose form hydrogen bonds with water molecules;
  • positively charged ions (such as Na+) attract the partially negative oxygen ends of water molecules;
  • negatively charged ions (such as Cl) attract the partially positive hydrogen ends.

Each dissolved particle is surrounded by a shell of water molecules. Those water molecules are held by the solute and are less free to move (A1.1).

Comparing solutions

Water moves by osmosis from a solution with a lower solute concentration to one with a higher solute concentration, across a partially permeable membrane. Describe the direction in terms of solute concentration, not “water concentration”. Three terms compare two solutions:

Hypotonic
has a lower solute concentration than the other solution. Water moves out of it.
Hypertonic
has a higher solute concentration than the other solution. Water moves into it.
Isotonic
has the same solute concentration as the other solution. No net movement.

Osmosis into and out of cells

  • If a cell is placed in a hypotonic solution, water moves by osmosis into the cell.
  • If a cell is placed in a hypertonic solution, water moves out of the cell.
  • In an isotonic solution, water molecules still cross the membrane constantly in both directions, but at equal rates. There is a dynamic equilibrium with no net movement — not an absence of movement.

Measuring osmosis in plant tissue

The standard experiment uses cylinders or strips of plant tissue such as potato:

  1. Cut cylinders of equal size from the same tissue, blot dry, and record the initial mass (and/or length) of each.
  2. Place them in a range of sucrose or salt solutions of known concentration, for example 0.0 to 0.5 mol dm−3, with repeats at each concentration.
  3. After a fixed time, remove, blot dry in the same way, and record the final mass.
  4. Calculate the percentage change in mass for each cylinder, so that cylinders of slightly different starting mass can be compared.
  5. Plot mean percentage change against concentration and draw a line of best fit. The concentration at which the line crosses zero change is the solution that is isotonic to the tissue.

With repeats at each concentration, the standard deviation (SD) shows how much the repeats vary, and the standard error of the mean (SE = SD ÷ \( \sqrt{n} \)) shows how precisely the mean is known. SE can be shown as error bars on the graph. You do not need to memorize the formulae; calculators and spreadsheets do the work. Comparing SD for mass and for length measurements shows which measurement is more reliable.

Cells without a cell wall

In a hypotonic medium
Water enters, the cell swells, and because there is no wall to resist, it can burst (lysis). Red blood cells in pure water burst.
In a hypertonic medium
Water leaves, and the cell shrinks. Red blood cells shrivel into a spiky shape: crenation.

Cells without walls therefore need protection from osmotic changes:

  • Freshwater unicellular organisms such as Paramecium and Amoeba live in a hypotonic environment, so water constantly enters. Contractile vacuoles collect the excess water and expel it from the cell, using energy from ATP.
  • Multicellular animals must keep their tissue fluid isotonic with their cells, so cells neither swell nor shrink. This is one function of the kidneys (D3.3).

Cells with a cell wall

In a hypotonic medium
Water enters and the vacuole and cytoplasm expand, pushing the plasma membrane against the cell wall. The strong wall resists, and pressure builds up inside: turgor pressure. The cell becomes turgid and does not burst. Turgid cells support non-woody plants.
In a hypertonic medium
Water leaves, the vacuole and cytoplasm shrink, and turgor is lost; the cell becomes flaccid and the plant wilts. With more water loss, the plasma membrane pulls away from the cell wall: plasmolysis.

Isotonic solutions in medicine

  • Intravenous fluids given to patients who are dehydrated or have lost blood are isotonic with blood plasma (for example 0.9% sodium chloride, “normal saline”). Pure water would enter red blood cells and burst them; a hypertonic solution would shrink them.
  • Organs for transplantation are bathed and stored in cold isotonic solutions, so that their cells neither swell nor shrink by osmosis while they are outside the body.
  • Isotonic solutions are also used as eye drops and to rinse wounds.

Water potential AHL

Water potential (\( \psi_{\mathrm{w}} \), psi) is the potential energy of water per unit volume. It is a measure of the tendency of water to move from one place to another. The absolute potential energy of water cannot be measured, so values are given relative to pure water at atmospheric pressure and 20 °C, which is defined as zero. The units are usually kilopascals (kPa).

Water moves down a water potential gradient AHL

Water moves from a region of higher water potential to a region of lower water potential. The reason is energy: like a ball rolling downhill, water tends to move to where its potential energy is lower. Dissolving solutes lowers water potential, because water molecules bound in solvation shells are less free to move; applying pressure raises it, because pressure gives the water more energy.

Solute potential and pressure potential AHL

In a plant cell with a wall, water potential has two components:

\[ \psi_{\mathrm{w}} = \psi_{\mathrm{s}} + \psi_{\mathrm{p}} \]
Solute potential, \( \psi_{\mathrm{s}} \)
The effect of dissolved solutes. Pure water has \( \psi_{\mathrm{s}} = 0 \); adding solutes makes it negative. It ranges from zero downwards: the more concentrated the solution, the more negative.
Pressure potential, \( \psi_{\mathrm{p}} \)
The effect of pressure. Inside cells, where the wall pushes back on the expanding contents, it is generally positive. It can be negative where water is under tension, as in xylem vessels during transpiration (B3.2).

Because both terms are usually quoted with signs, water potential in cells is almost always zero or negative. The less negative value is the higher water potential: −300 kPa is higher than −700 kPa.

Explaining changes in plant tissue AHL

In a hypotonic solution (for example pure water, \( \psi_{\mathrm{w}} = 0 \)): the cell’s water potential is lower (more negative), because its \( \psi_{\mathrm{s}} \) is negative. Water moves into the cell. As it enters, the contents push against the wall and pressure potential rises, while solute potential becomes slightly less negative as the contents are diluted. Water keeps entering until the cell’s \( \psi_{\mathrm{w}} \) rises to equal that of the solution, at which point the cell is turgid and net movement stops. The tissue gains mass and length.

In a hypertonic solution (solution \( \psi_{\mathrm{w}} \) more negative than the cell): water moves out of the cell. Pressure potential falls towards zero as the cell loses turgor, and solute potential becomes more negative as the contents are concentrated. If water loss continues after \( \psi_{\mathrm{p}} \) reaches zero, the membrane pulls away from the wall (plasmolysis). The tissue loses mass and length.

✏️Worked example

Potato cylinders, each with an initial mass of 2.50 g, were left in sucrose solutions for 24 hours.
sucrose / mol dm−3
0.0, 0.1, 0.2, 0.3, 0.4, 0.5
mean final mass / g
2.80, 2.66, 2.55, 2.45, 2.36, 2.27
(a) Calculate the percentage change in mass at each concentration.
(b) Estimate the sucrose concentration that is isotonic to the potato tissue.
(c) At 0.3 mol dm−3, the three repeats gave −1.6%, −2.4% and −2.0%. The standard deviation is 0.40%. Calculate the standard error, and state what it shows.
(d) AHL A potato cell has \( \psi_{\mathrm{s}} = -800 \) kPa and \( \psi_{\mathrm{p}} = +300 \) kPa. It is placed in a solution with \( \psi_{\mathrm{w}} = -600 \) kPa. Calculate the cell’s water potential and predict the direction of water movement.

(a) Percentage change = (final − initial) ÷ initial × 100:

0.0: +12.0%
0.1: +6.4%
0.2: +2.0%
0.3: −2.0%
0.4: −5.6%
0.5: −9.2%

(b) The mass change passes from positive (+2.0%) to negative (−2.0%) between 0.2 and 0.3 mol dm−3. Interpolating, the line crosses zero halfway between: about 0.25 mol dm−3. At this concentration there is no net gain or loss of water, so it is isotonic to the tissue.

(c)

\[ \mathrm{SE} = \frac{\mathrm{SD}}{\sqrt{n}} = \frac{0.40}{\sqrt{3}} = 0.23\% \]

The mean change at 0.3 mol dm−3 is −2.0% with a standard error of 0.23%: the mean is known quite precisely, and the error bars (±0.23) are small compared with the differences between concentrations, so the trend is reliable.

(d)

\[ \psi_{\mathrm{w}} = \psi_{\mathrm{s}} + \psi_{\mathrm{p}} = -800 + 300 = -500\ \mathrm{kPa} \]

The cell (−500 kPa) has a higher water potential than the solution (−600 kPa), so water moves out of the cell into the solution, and the cell loses turgor.

Check it. Mass should increase in dilute solutions and decrease in concentrated ones, and the percentage changes should decrease steadily with concentration — they do. In (d), compare water potentials, not solute potentials: the cell’s solute potential (−800) is lower than the solution’s, which might tempt you to say water enters, but its pressure potential makes its overall water potential higher.
Treating −600 as “higher” than −500. Water potentials are negative, so the number closer to zero is the higher value. Water moves from −500 kPa to −600 kPa, never the other way. Writing “from a less negative to a more negative water potential” is a safe way to phrase it.

📝Practise

Work through these on paper, then reveal the answer. Questions 5 and 6 are AHL.

1. Explain what happens to red blood cells placed in (a) distilled water and (b) a concentrated salt solution.
(a) Distilled water is hypotonic to the cytoplasm, so water enters the cells by osmosis. Red blood cells have no cell wall, so they swell and burst (lysis). (b) The salt solution is hypertonic, so water leaves the cells by osmosis. The cells shrink and become wrinkled/spiky: crenation.
2. Explain why a cell in an isotonic solution is described as being in dynamic equilibrium.
In an isotonic solution the solute concentrations inside and outside the cell are equal. Water molecules continue to move randomly across the membrane in both directions, but they cross in each direction at the same rate. There is therefore no net movement of water, even though movement has not stopped — which is what “dynamic” equilibrium means.
3. Explain why a plant cell placed in pure water does not burst, while an animal cell does.
In pure water (hypotonic), water enters both cells by osmosis. In the plant cell, the expanding contents press against the strong, inelastic cellulose cell wall, which exerts an opposing pressure (turgor pressure). This eventually stops further net entry of water, so the cell becomes turgid but does not burst. The animal cell has no cell wall; its plasma membrane cannot resist the expansion, so water keeps entering until the cell bursts.
4. Explain why intravenous fluids must be isotonic with blood plasma.
If the fluid were hypotonic, water would move by osmosis into red blood cells (and other cells), causing them to swell and burst. If it were hypertonic, water would move out of the cells, causing them to shrink (crenate) and stop functioning. An isotonic solution has the same solute concentration as the plasma, so there is no net movement of water into or out of cells, and they are unharmed.
5. AHL Cell A has \( \psi_{\mathrm{s}} = -700 \) kPa and \( \psi_{\mathrm{p}} = +200 \) kPa. Cell B has \( \psi_{\mathrm{s}} = -600 \) kPa and \( \psi_{\mathrm{p}} = +300 \) kPa. They are next to each other. Predict the direction of water movement.
\( \psi_{\mathrm{w}} = \psi_{\mathrm{s}} + \psi_{\mathrm{p}} \). Cell A: −700 + 200 = −500 kPa. Cell B: −600 + 300 = −300 kPa. Cell B has the higher (less negative) water potential, so water moves from cell B to cell A, down the water potential gradient.
6. AHL Explain, in terms of solute and pressure potential, the changes in a flaccid plant cell placed in pure water.
Pure water has \( \psi_{\mathrm{w}} = 0 \). The flaccid cell has \( \psi_{\mathrm{p}} \approx 0 \) and a negative solute potential, so its water potential is lower than the water’s. Water moves into the cell by osmosis. As it enters, the contents are slightly diluted, so \( \psi_{\mathrm{s}} \) becomes less negative, and the contents press against the wall, so pressure potential increases. Both changes raise the cell’s water potential. Water continues to enter until \( \psi_{\mathrm{w}} \) of the cell reaches zero, equal to the surrounding water: then there is no net movement and the cell is fully turgid.

🔗Go deeper — other people’s work

These are external resources, not mine. If one stops working, tell me and everything above it on this page still stands.

  • Nuffield Foundation / Royal Society of Biology practical biology collection — the potato cylinder osmosis protocol, with data analysis guidance.
  • Science & Plants for Schools (SAPS) — activities on plasmolysis in onion and red cabbage epidermis.
  • Khan Academy — Water potential, with worked examples of \( \psi_{\mathrm{s}} \) and \( \psi_{\mathrm{p}} \).