1. A sample of air has a temperature of 20, a relative humidity of 80%, and a pressure of 900 hPa (if you can, you may use skew-T diagram).

A. Find its vapor pressure (5 points)

B. Find its dewpoint (5 points)

C. Find its mixing ratio (5 points)

D. Find the saturation mixing ratio (5 points) E. If 1 ^3 of the air is compressed isothermally to a volume of only 0.2 ^3 , find the mass of water that must condense out in order to eliminate any super-saturation (20 points)

2. Using a skew-T diagram, determine the saturation vapor pressure at a temperature of 20. (15 points)

3. Using a skew-T diagram, determine the relative humidity of an air parcel having temperature 20, dewpoint 10, and pressure 900 hPa. (15 points)

4. Derive an equation that relates , and mixing ratio of a parcel to the pressure corresponding to the parcel's LCL. You may use the approximate relationships of saturation vapor pressure (eq. 7.18) and (eq. 7.23)...as well as Poisson's equation (eq. 5.36). You may not have to derive the exact solution (because the solution is in non-linear form) (30 points)

() = ^/ (. 7.18)

W (, ) = () / (. 7.23)

/ 0 = ( / 0 ) (. 5.36)