MECH 230 Study Guide - Quiz Guide: Mass Flux, Polytropic Process, Ideal Gas

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Pgauge=Pabs-Patm
P1 = P2 + ρgL
W=V1V2PdV
Polytropic Process:
n≠1: W=P2V2-P1V11-n
n=1: W=P2V2lnV2V1
W=P1V1lnV2V1
n=0: const. P: W=PV2-V1
const. V: W = 0
Work by or Heat to the system is positive
Work on or Heat from the system is negative
Adiabatic: Q = 0
∆E=-W
Isothermal: T = const;
U = 0, unless state is changingΔ
E2 – E1 = Q – W
∆E=∆KE+∆PE+∆U=Q-W
12mv22-v12+mgh2-h1+12kx22-x12+mT1T2cvdT=Q-W
∆U=U2-U1=Q-W
Wcycle=Qcycle
Power Cycle Wcycle>0 Qin>Qout
Refrigeration Cycle Wcycle<0 Qin<Qout
Liquid – Vapour
(UNDER DOME)
x=mgmg-mf
v=vf+xvg-vf
u=uf+xug-uf
h=hf+xhg-hf
Compressed liquids: If P is small,
u(P,T) ~ uf(T)
v(P,T) ~ vf(T)
h(P,T) = hf(T) + vf(P-Psat(T*))
IDEAL GASES
z=PvRT; z=1 for ideal gas
PV=MRT
PV=nRT
Pv=RT
T2T1=P2P1n-1n=v1v2n-1
W=MR(T2-T1)1-n
cpT=cvT+R
cpT=cvT+R
kT=cpcv
cvT=RkT-1
cp(T)=kTRkT-1
Other
h=u+Pv
incompressible substances
Cp=Cv=C
CONTROL VOLUME ANALYSIS
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