![]()  | 
    Plant Physiology (Biology 327) - Dr. Stephen G. Saupe; College of St. Benedict/ St. John's University; Biology Department; Collegeville, MN 56321; (320) 363 - 2782; (320) 363 - 3202, fax; ssaupe@csbsju.edu | 
Water
Conductivity of Potato Tubers
     Flux density, Js,  is a measure of the volume of water crossing the membrane per
unit area per unit time.  It is
expressed in units of  m3 m-2
s-1 or simplified m s-1. 
Lp is the hydraulic conductivity of the membrane (in units of m3 m-2
s-1 MPa-1 or simplified to m s-1 MPa-1)
which is a factor that relates permeability of the system to water flow.
Ultimately, the flow into (or out of) a system is a function of hydraulic conductivity. The driving force for transport is the water potential gradient. These factors can be mathematically expressed as: Js = Lp (ΔΨ).
   
Flux density and hydraulic conductivity can be calculated from our Gravimetric
data.  However, we will also need to know the surface area of a core.  
 
Procedure:
1.  Set up the Gravimetric experiment.  Measure
& record  in Table 1 the diameter and length of the cores.  Also
record the duration of the experiment (Table 1) and then complete the calculations.
2. Complete Table 2
Calculate the solution Ψs (MPa) from the van't Hoff equation (see Chardakov lab).
Obtain the water potential of the potato tubers (Ψtuber) from the Gravimetric experiment. Then, calculate ΔΨ (Ψsoln � Ψ tuber).
Transfer the change in weight data from the Gravimetric experiment (column 4) into column 4 (water uptake).
Calculate flux density
3. 
Plot Js (m s-1) vs. 
ΔΨ
(MPa).
4. 
Calculate the slope of this line which will yield Lp = cm sec-1 MPa-1.
For  potato, the expected values for L are 1.5 10-7 m MPa-1
s-1.
| 
      
      Table
        1: 
         
      Core/Experimental Data | 
    |
| 
		average
        core length (cm) | 
      |
| 
		average
        core width (cm) | 
      |
| average core surface area (cm2; 2 π r2 + 2 π r h ) | |
| 
		total
        core surface area per treatment (surface area/core times the number of
        cores per treatment; cm2 | 
      |
| 
		time
        experiment start | 
      |
| 
		time
        experiment end | 
      |
| 
		incubation
        time for cores ( | 
      |
| 
      
      Table
        2.  Water Uptake by Potato
        Tubers | 
    ||||
| 
         
		[Sucrose]
        (molal) 
  | 
      
  
  	Ψsolution
        (MPa) | 
      
		ΔΨ
        (Ψsoln � 
        
  
  	Ψtuber ; MPa) | 
      
		
		Water
        Uptake (Final wt � Initial wt; cm3) | 
      
		
		Js
        = flux density = (cm3 / (core SA in cm2 x time in
        s) | 
    
| 
		0 | 
      ||||
| 0.1 | ||||
| 0.2 | ||||
| 0.3 | ||||
| 0.4 | ||||
| 0.5 | ||||
| 0.6 | ||||
| 0.7 | ||||
References:
	Barcelo,
    AR, AA Calderon and R Munoz.  1994. 
    Measuring water conductivity coefficients in plant tissues. 
    Journal of Biological Education 28: 83 � 85.
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Last updated: 
01/07/2009     � Copyright  by SG 
Saupe