Water Potential

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Water potential is a concept that helps to describe the tendency of water to move from one area to another

,

particularly into or out of cells.

oWater molecules move randomly. oWhen water is enclosed by a membrane some of the moving water molecules will hit the membrane, exerting pressure on it. oThis pressure is known as water potential .

 It is measured in units of pressure, can be measured in kPa, MPa, bar.

 Pure water has a water potential of zero.

 A solution will have a lower concentration of water molecules so it will have a negative water potential.

Water Potential

We look at water movement in terms of water potential. (ψ psi)

Two factors:

Solute concentration and pressure

Pure water ψ =0

The addition of solute lowers the water potential. (negative number)

Water potential determines the rate and direction of osmosis.

ψ p  Pressure potential is important in plant cells because they are surrounded by a cell wall which, is strong and rigid.

ψ p

 When water enters a plant cell, its volume increases and the living part of the cell presses on the cell wall.

 The cell wall gives very little and so

pressure starts to build up inside the cell.

ψ p

 This has the tendency to stop more water entering the cell and also stops the cell from bursting.

 When a plant cell is fully inflated with water, it is called turgid.

 Pressure potential is called turgor pressure in plants )

ψ p

Water potential (

ψ

) = pressure potential (

ψ p

) + solute (osmotic) potential (

ψ s

)

Pressure potential (

ψ p

):

In a plant cell, pressure exerted by the rigid cell wall that limits further water uptake

Solute potential (

ψ s

):

The effect of solute concentration. Pure water at atmospheric pressure has a solute potential of zero.

As solute is added, the value for solute potential becomes more negative.

This causes water potential to decrease also.

*As solute is added, the water potential of a solution drops, and water will tend to move into the solution.

Water moves from a place of high water potential to a place of low water potential.

Water potential (ψ) = pressure potential ( ψ

+ solute potential (

(osmotic)

ψ s p

)

)

This is an open container, so the ψ p

= 0

This makes the ψ = ψ s

The ψ s

=-0.23, so ψ is

-0.23MPa, and water moves into the solution.

 Can a solution with a molarity of 0.2 be in equilibrium with a solution with a molarity of 0.4?

 YES!

 Pressure

 Two solutions will be at equilibrium when the water potential is the same in both solutions. This does not mean that their solute concentrations must be the same, because in plant cells the pressure exerted by the rigid cell wall is a significant factor in determining the net movement of water.

Let’s Take a class quiz!!

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So, we can now define osmosis as the movement of water molecules from a region of higher water potential to a region of lower water potential through a semi-permeable membrane.

Solute

(osmotic)

potential (

ψ

s

)= –iCRT

i = The number of particles the molecule will make in water; for

NaCl this would be 2; for sucrose or glucose, this number is 1

C = Molar concentration

Yikes, what's that??????

R = Pressure constant = 0.0831 liter bar/mole K

T = Temperature in degrees Kelvin (273 + °C) of solution

Example Problem:

The molar concentration of a sugar solution in an open beaker has been determined to be 0.3M. Calculate the solute potential at 27°C degrees. Round your answer to the nearest hundredth.

What is the water potential?

Answer:

Solute potential = -iCRT

=

=

Solute potential =

Molarity

Another way of expressing concentration , the way that we will use most in this course, is called molarity. Molarity is the number of moles of solute dissolved in one liter of solution . The units, therefore are moles per liter , specifically it's moles of solute per liter of solution.

DIFFERENCE BETWEEN MOLARITY AND MOLES

Be very careful to distinguish between moles and molarity.

molarity = moles of solute liter of solution

"Moles" measures the amount or quantity of material you have; "molarity" measures the concentration of that material.

So when you're given a problem or some information that says the concentration of the solution is 0.1 M that means that it has 0.1 mole for every liter of solution; it does not mean that it is 0.1 moles

What is the molarity of a solution made by dissolving 2.5 g of NaCl in enough water to make

125 ml of solution? molarity = moles of solute liter of solution

1 mole of any substance has a mass

= to the atom’s atomic mass.

2.5 g NaCl x

1 mole NaCl

58.5 g NaCl

= 0.0427 mole molarity =

0.0427 mole NaCl

0.125 L

= 0.34 M NaCl

Molarity is number of moles per

Liters of solution

EXAMPLE PROBLEMS

1- An AP Biology student dissolves 98.4 g of

FeSO

4 in enough water to make 2.000 L of solution. What is the molarity of the solution?

151.91g

Return to Water

Potential Discussion

Sample Problems:

• A .15 M solution of sucrose at atmospheric pressure and 25 ° C. Find the solute potential and the water potential.

• Calculate the solute potential of a .1 M NaCl solution at 25 ° C. If the concentration of NaCl inside the plant is .15 M, which way will the water diffuse if the cell is placed into a .1 M

NaCl solutions?

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