Thermodynamics 1 Equations Flashcards
Sign Convention for Heat
Heat IN is +ive
Sign Convention for Work
Work OUT is +ive
Displacement Work
W = int P dV
Isothermal PV relationship
P V = m R T
Isentropic PV relationship
P V^γ = k
First Law of Thermodynamics
Q - W = ΔU (for a closed system)
Enthalpy Definition
h = u + P v
Ideal Gas Law
P v = R T
Specific Heat (constant volume)
Cv = du/dT
Change in u
u2 - u1 = Cv * ( T2 - T1 )
Specific Heat (constant pressure)
Cp = dh/dT
Change in h
h2 - h1 = Cp * ( T2 - T1 )
Specific Heat Relationship
R = Cp - Cv
γ in terms of specific heats
γ = Cp / Cv
Dryness fraction from specific volume
x = (v - vf) / (vg - vf)
Dryness fraction from specific enthalpy
x = (h - hf) / (hg - hf)
Dryness fraction from specific entropy
x = (s - sf) / (sg - sf)
Specific enthalpy h_fg for wet steam
hfg = hg - hf
Specific enthalpy h of wet steam
h = hf + x * hfg
Heat (Q) and Temp (T) relationship for a reversible heat engine
Qh / Th = Qc / Tc
Reversible Heat Temp relationship (condition)
int dQ/T = 0
Irreversible Heat Temp relationship condition
int dQ/T < 0
Entropy Definition
dS = dQ(rev) / T
Change in Entropy
S2 - S1 = int dQ(rev)/T