Self-study notes - GAUSSIAN PLUMES
You should read appropriate text books in order to understand the meaning of those words which are given here in
italics.
Consider a point source somewhere in the air where a pollutant is released at a constant rate Q (k

Momentum: =m
p
v
Force: F=m a=
x
( position ) ;
d
p
dt
dx
d
v
da
= ( velocity ) ; = ( acceleration ) ;
v
a
= j( jerk )
dt
dt
dt
Newtons Second Law:
d
v
F g=m
=mg e z ( gravitational field )
^
dt
v
Multiply
[
to both sides:
v
=u e x + v e y +w e z=
^

Name: YiTien Jou
Professor: Ian Faloona
Date: 10/5/2015
ATM 120 Homework 1
1) For a perfect elastic collision, the kinetic energy between the collided items is conserved,
which means that the energy from item A transfers to item B, and it will return from

Name: YiTien (Terry) Jou
Professor: Ian Faloona
Date: 12/4/2015
ATM 120 Homework 8
1) The wet-bulb temperature can be determined with Ti = 40oC and assume P = 1000 mb:
c pd
c
e
e
( T iT w) =w s ( T w ) w i w s ( T w ) = pd ( T i T w) + wi w s= s ; wi= i

Name: YiTien (Terry) Jou
Professor: Ian Faloona
Date: 11/25/2015
ATM 120 Homework 7
1) According to the ideal gas law, when pressure goes down, temperature also goes down.
Assume pressure and saturation vapor pressure are equal in the cabin; thus, saturat

Name: YiTien (Terry) Jou
Professor: Ian Faloona
Date: 11/18/2015
ATM 120 Homework 6
o
1) At cloud base (T = 30 C; h = 500 m):
2354
2354
log e s=9.4041
=9.4041
=1.6351 e s =43.162 mb
T
303
At tropopause (h = 16 km):
K
T =( 303 K ) 6.5
( 160.5 km )=202 K
km

Name: YiTien (Terry) Jou
Professor: Ian Faloona
Date: 11/4/2015
ATM 120 Homework 5
1) (a) Latent heat of fusion for water, ice = 334 J/g
4 3 4
3
3
Volume of ice: 3 r = 3 (5 cm) =523.6 cm
Density of ice = 0.92 g/cm3
g
3
Mass of ice: ( 523.6 cm ) 0.92 cm3 =

Name: YiTien (Terry) Jou
Professor: Ian Faloona
Date: 10/26/2015
ATM 120 Homework 4
1)
1600
1400
1200
1000
Altit ude (in m)
800
600
400
200
0
12
17
22
27
32
37
Temperat ure (in oC)
H
H=c P m T ; m=Az =c P z T
A
[unit: J/unit area]
Integrate H/A w.r.t z:
z

Name: YiTien (Terry) Jou
Professor: Ian Faloona
Date: 10/19/2015
ATM 120 Homework 3
dP
=g
dz
1) The hydrostatic equation:
The ideal gas law:
P= Rd T
Temperature decreasing with height:
dT
=
dz
( z )
H
(a) Pressure decreases with height when it is a consta

Name: YiTien Jou
Professor: Ian Faloona
Date: 10/12/2015
ATM 120 Homework 2
1) The mass of the weight = 0.1 kg.
The diameter of the opening = 2.5 mm = 2.5x10-3 m
The area of the opening = (2.5x10-3 m)2 = 1.96x10-5 m2
g = 9.8 m/s2
m
0.1 kg 9.8 2
F
s
kg
P=