1st Year: May exam Flashcards
Learning the important equations
First Law of Thermodynamics:
Q − W = ∆U + ∆KE + ∆P E + ∆SE
First Law of Thermodynamics for a cyclic process
∑Q = ∑W
Equation of state for a perfect gas
P V = mRT
or
P = ρRT
Change in internal energy:
∆U = mCv∆T
Change in enthalpy:
∆H = mCp∆T
Isothermal Process
Constant Temperature
Process Path: P V = C
Work: W = mRTln(V2/V1)
Adiabatic Process
No Heat Transfer
Q=0
Process Path: P V ^γ = C
Work: W =(P1V1 − P2V2)/γ − 1
Polytropic Process
Process Path: P V ^n = C
Work: W =(P1V1 − P2V2)/n-1
Relating ratios of T, V, and P…
T2/T1 = (V1/V2)^γ−1 = (P2/P1)^y-1/y
change γ to n for polytropic processes
y =
Cp/Cv
normally equals 1.4
R =
Cp - Cv
Cv =
R / y-1
Cp =
R*y / y-1
Constant Pressure Process: Q=
mCp∆T
Mass flow rate
m* = VAρ
Volume flow rate
Q = AV
Bernoulli’s equation
P1/ρ + V1^2/2 + gZ1 = P2/ρ + V2^2/2 + gZ2
First Law of Thermodynamics for a Closed process
Q-W=∆U
more specifically:
Q-(Wshaft +Wdisp)=∆U
Units of Volume flow rate:
m^3/s
Units of Mass flow rate
Kg/s
Effect of nozzle on tube opening
Are decreases so velocity increases as flow rate constant.
What does a steady flow process mean?
Flow RATE constant. ie Q or M
Not necessarily velocity constant
What is Guage pressure?
The amount the pressure is over atmospheric.
What is Vacuum pressure
The amount the pressure is under atmospheric.
How do you find buoyancy force?
F=ρg∆hA
Work done by power source:
W = Pt
What is enthalpy?
H = U +PV
Equation for constant pressure process (piston with weight)
Q = ∆H = mCp∆T
How to find n where y=x^n
n=log.x(y)
For collision question:
- W = ∆U +∆Ek
- Patmos(∆V) = cm∆T +1/2m∆V^2
Clever subs include: T=PV/mR Cv/R = 1/y-1
For mixing gasses/liquids question:
U1=U2
U1 = (cmT1)a + (cmT1)b + ..etc
U2 = c(ma + mb +…etc)T2
What Is an isolated system?
No interaction with surroundings
Q=0 W=0
What Is a Reversible process?
Energy can be constantly converted without loosing any. Like a pendulum with no friction. (Never occurs in real life)
What is an Irreversible process?
Friction acts on system converting energy to heat which cant convert back. Eventually brings system to hault