Chapter 2
First Law of Thermodynamics
V 2 : (m/s2)
Euniv 0
m: (kg)
Esystem Esurroundings 0 E: (J)
g: (m/s2)
∆𝐸 = ∆𝐸𝑘 + ∆𝐸𝑝 = 0 z: (m)
1 2
EK mV EP mgz
2
Work (W)
W: (J)
W FE dx
w: (J/mol)
FE
W d ( Ax ) PE dV
Dependent of parh
A
w PE dv
Heat (Q)
𝑄 = 𝑛∆ℎ Q: (J)
Sign convention:
Reversible process:
A process is reversible if, after the process occurs, the system can be returned to its
original state without any net effect on the surroundings.
Amount of reversibility: Amount of reversibility for compression:
wirrev wrev
exp comp
wrev wirrev
1
, wrev (exp) = - wrev (comp)
First law of thermodynamics for closed systems:
∆𝑈 = 𝑄 + 𝑊 ∆𝑈: (J)
∆𝑢 = 𝑞 + 𝑤 ∆𝑢: (J/mol)
First law of thermodynamics for open systems:
Flow work:
W
flow in Pin Ain
dx
dt
Pin AinVin Pin nin vin
w
W
Pin vin
flow in
flow in
nin
W flow out Poutnoutvout
W W shaft W flow W s nin Pv in nout Pv out
in out
Energy balance for open systems:
If kinetic and potential energies can be neglected:
0 nin hin nouthout Q W S
in out
2
First Law of Thermodynamics
V 2 : (m/s2)
Euniv 0
m: (kg)
Esystem Esurroundings 0 E: (J)
g: (m/s2)
∆𝐸 = ∆𝐸𝑘 + ∆𝐸𝑝 = 0 z: (m)
1 2
EK mV EP mgz
2
Work (W)
W: (J)
W FE dx
w: (J/mol)
FE
W d ( Ax ) PE dV
Dependent of parh
A
w PE dv
Heat (Q)
𝑄 = 𝑛∆ℎ Q: (J)
Sign convention:
Reversible process:
A process is reversible if, after the process occurs, the system can be returned to its
original state without any net effect on the surroundings.
Amount of reversibility: Amount of reversibility for compression:
wirrev wrev
exp comp
wrev wirrev
1
, wrev (exp) = - wrev (comp)
First law of thermodynamics for closed systems:
∆𝑈 = 𝑄 + 𝑊 ∆𝑈: (J)
∆𝑢 = 𝑞 + 𝑤 ∆𝑢: (J/mol)
First law of thermodynamics for open systems:
Flow work:
W
flow in Pin Ain
dx
dt
Pin AinVin Pin nin vin
w
W
Pin vin
flow in
flow in
nin
W flow out Poutnoutvout
W W shaft W flow W s nin Pv in nout Pv out
in out
Energy balance for open systems:
If kinetic and potential energies can be neglected:
0 nin hin nouthout Q W S
in out
2