How Do Water Molecules Diffuse Through Plant Stomata?

AI Thread Summary
Water vapor in plant leaves transitions from liquid to vapor at mesophyll cell walls, diffusing through intercellular spaces and exiting via stomatal pores. The diffusion constant for water vapor is 2.4 x 10−5 m²/s, with stomatal pore dimensions given as a cross-sectional area of 6.8 x 10−11 m² and a length of 7.0 x 10−5 m. In a controlled environment at 17 °C and 61% relative humidity, the partial pressure of water vapor is calculated to be 1.18 kPa. To find the concentration of water molecules in the air, the ideal gas law can be applied using the known partial pressure. Understanding these principles is crucial for calculating water concentration in kg/m³ and further exploring plant transpiration dynamics.
supakillea
Messages
1
Reaction score
0
Inside the leaf of a plant, water vapour passes from the liquid phase to the vapour phase at the walls of the mesophyll cells, as shown in the figure (N/A due to copyright). The water vapour then diffuses through the intercellular air spaces and eventually exits the leaf through the stomatal pores. The diffusion constant for water vapor in air is D = 2.4 x 10−5 m2s−1. A stomatal pore has a cross-sectional area A = 6.8 x 10−11 m2 and a length L = 7.0 x 10−5 m. The plant is being propagated in a controlled environment: T = 17 °C, relative humidity 61 %. The saturated vapour pressure of water at 17 °C is 1.93 kPa.

(a) Assuming that the air around the plant is an ideal gas, what is the concentration of water molecules per cubic meter in the air? __________ molecules/m³

(b) Given that the molar mass of water is 18.0 g mol−1, what is the concentration of water in the air in kg/m³? __________ kg/m³2. Homework Equations - don't know...I know that the partial pressure of water vapour is 1.18kPa which can be worked out by using the saturated vapour pressure of water and the relative humidity ( x/1.93 = 0.61 , x = 1.18kPa )
But what do you do with it? I think its got something to do with the total pressure and etc but don't know exactly how
Please help me
Thanks
 
Physics news on Phys.org
Hint: ideal gas law. You're correct that p for the water is 1.18 kPa.
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'
(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...

Similar threads

Back
Top