ChE 406 – Chemical Engineering Thermodynamics
FORMULA SHEET
LECTURE 1
STANDARD PREFIXES FOR THE SI UNITS OF MEASURE
MULTIPLIES
Name
Symbol
Factor
10
0
FRACTIONS
Name
Symbol
Factor
100
deca-
hecto-
kilo-
mega-
giga-
tera-
peta-
exa-
zetta-
yotta-
da
h
k
M
G
T
P
E
Z
Y
10
10
10
10
10
10
10
10
10
1024
deci-
centi-
milli-
micro-
nano-
pico-
femto-
atto-
zepto-
yocto-
d
c
m
µ
n
p
f
a
z
y
10-1
10-2
10-3
10-6
10-9
10-12
10-15
10-18
10-21
10-24
1
2
3
6
MEASURES OF AMOUNT OR SIZE
𝑛
𝑛=
or 𝑚 = 𝑀𝑛
𝐹
𝑃=𝐴 =
Total Volume
Specific Volume:
𝑉𝑡
𝑚
𝑉𝑡
𝑛
or 𝑉 𝑡 = 𝑚𝑉
TEMPERATURE
𝐴ℎ𝜌𝑔
𝐴
= 𝜌𝑔ℎ
WORK
1
𝑚𝑔
𝑔𝑐
dW = Fdl
SI Unit: Joule (J) or 𝑁 · 𝑚
𝑓𝑡
𝑠2
𝑑𝑊 = −𝑃𝐴𝑑
, 𝑔𝑐 = 32.174
𝑙𝑏𝑚·𝑓𝑡
𝑙𝑏𝑓·𝑠 2
(°F - 32) x 5/9
(K - 273.15)
Degree Fahrenheit
(°F)
(°C x 9/5) + 32
(1.8 x K) - 459.67
(°C + 273.15)
(°F + 459.67) ÷ 1.8
Rankine (R)
=
𝑃𝑣𝑎𝑐𝑢𝑢𝑚 = 𝑃𝑎𝑡𝑚 −𝑃𝑎𝑏𝑠
Degree Celsius (°C)
Kelvin (K)
𝑚𝑔
𝐴
𝑃𝑔𝑎𝑢𝑔𝑒 = 𝑃𝑎𝑏𝑠 −𝑃𝑎𝑡𝑚
SI unit: Newton(N)
𝑚
𝑘𝑔·𝑚
1 2 , 𝑔𝑐 =
𝑠
𝑁·𝑠 2
English unit: Pound force (lbf)
1 𝑙𝑏𝑚 𝑜𝑓 32.174
21
1 atm = 14.7 psi = 101.325 kPa = 1.01325 bar
Specific/molar density:
𝜌 = 1/𝑉
𝑐
18
Standard Atmospheric Pressure
or 𝑉 𝑡 = 𝑛𝑉
FORCE
𝐹 = 𝑚𝑎
1
𝐹 = 𝑔 𝑚𝑎 or 𝐹 =
15
SI Unit: Pascal (Pa) or 𝑁/𝑚2
English Unit: psi or 𝑙𝑏𝑓/𝑖𝑛2
Other units: mmHg, Torr, bar, atm
1 bar = 105 Pa = 0.1 MPa = 100kPa
Molar Volume:
𝑉=
12
PRESSURE
𝑀
𝑉=
9
(°C+ 273.15) x 9/5
𝑉𝑡
𝐴
= −𝑃𝑑 𝑉
𝑡
𝑉2𝑡
𝑊 = − ∫ 𝑃𝑑𝑉 𝑡
𝑉1𝑡
(+) Work = displacement same
direction as applied force /
compression
(-) Work = displacement opposite
direction as applied force / expansion
(°F+ 459.67)
But the Lord stood by me and strengthened me, so that through me the message might be fully proclaimed and
all the Gentiles might hear it. So I was rescued from the lion's mouth. 2 Timothy 4:17
ChE 406 – Chemical Engineering Thermodynamics
FORMULA SHEET
ENERGY
Internal Energy (U)
Kinetic Energy (KE)
𝑊=
𝐾𝐸 =
𝑚𝑣22 𝑚𝑣12
𝑚𝑣 2
)
−
= ∆(
2
2
2
1
𝑚𝑣 2
2
Potential Energy (PE)
𝑊 = 𝑚𝑔𝑧2 − 𝑚𝑔𝑧1 = 𝑚𝑔∆𝑧
𝑃𝐸 = 𝑚𝑔𝑧
Total Energy
𝐸𝑡𝑜𝑡𝑎𝑙 = 𝑃𝐸 + 𝐾𝐸 + 𝑈
𝐸𝑡𝑜𝑡𝑎𝑙 = 𝑚𝑔𝑧 + 1𝑚𝑣2 + 𝑈
2
HEAT (Q)
Units:
Calorie (cal)
British Thermal Unit (BTU)
SI unit: Joule (J)
-Q :heat transfer is from a system
to its surroundings (exothermic)
+Q: heat transfer us from the
surroundings into the system (endothermic)
But the Lord stood by me and strengthened me, so that through me the message might be fully proclaimed and
all the Gentiles might hear it. So I was rescued from the lion's mouth. 2 Timothy 4:17