BIOL 5495: Biophysical Ecology - Water Vapor and Evaporative Water Loss - Biology Assignment Help

Assignment Task:

Do your work on other sheets and attach them to this one.  Show your work for all calculations!

1) (10 pts) How long will it take to fully boil away a liter of water at sea level if its initial temperature is 5 °C and it’s heated on a 1000 W electric burner?  Assume the latent heat of vaporization is 44 kJ/mol and that of fusion is 6 kJ/mol.  Also assume that the air is sufficiently dry so that all the water can be evaporated.

2) (60 pts) This problem examines patterns of conductance to water vapor and evaporative water loss (by transpiration) for leaves of different size exposed to wind (a condition of forced convection).  Write an R script to make the following calculations and plots, with all plots on the same page (use the layout() command as shown in lab 7).

a) Plot leaf boundary-layer conductance (g, on the y axis) versus wind speed (u, on the x axis) using the equation below, for wind speeds varying from 0.1 to 5 m/s in increments of 0.1 m/s, for three separate leaves of characteristic dimension d=1, 5, and 10 cm.  This will be three lines on the same plot – be sure to use line types/markers that can be easily distinguished, and a legend.  This can be done with or without a for loop.  The equation for water vapor conductance under forced convection is g = 0.147*(u/d)^0.5.

b) Combine the above boundary-layer conductances in series with a constant stomatal conductance of 0.2 mol m-2 s-1.  On a new plot on the same page, plot all three total conductances versus windspeed – use the same line type for each case as in part b for clarity, and add a legend.  Remember that resistances add in series, conductances add in parallel.

c) Compute the evaporative (transpiration) water flux (E, in mmol m-2 s-1) from the leaf using the total conductances in part b.  Assume leaf temperature is 25 °C, air temperature is 24 °C, relative humidity is 5%, and use sea level pressure.  On a new plot on the same page, plot E versus wind speed for each total conductance case on the same plot.  Remember that E = gtot*(es-ea)/pa.

d) Explain in writing which leaf has the highest area-based evaporative water loss under these conditions, and why leaf dimension is important in this case.

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