Formulas Flashcards
acceleration
a = kF/m
specific volume
v = V/m = 1/d
V = Volume
m = mass
d = density
density
d = m/V = Y(k/g)
specific weight
Y = Fg/V
air pressure
P = Po + Pg
Gauge Pressure
Pg = Fg/A = Yz = pgz/k = gz/kV
open-type manometer
P = Po + pgz
barometer
Po = Yw(z)
absolute pressure
P = Yz
z = zo + zg
°F - °C
°F = (9/5)°C + 32
°C - °F
°C = 5/9(°F-32)
°F - °R
°R = °F +460
°C - °K
°K = °C +273
volume flow rate
v = A(V)
A= cross sectional area ,V= average speed, v= volume flow rate
mass flow rate
m = v/(V) = AV/vV = AVp
m=mass flow rate, v= volume flow rate, V=average speed, p=density, A=a
law of conservation of mass
A1V1p1 = A2V2p2
A=area, V=average speed, p=density
gravitational potential energy
PE = Fg(z) = mgz/k
Fg = weight, z=height
kinetic energy
KE = mV^2/2k
V=average speed, m=mass
change in internal energy
ΔU = Q + W
heat
Q = ΔU - W =mcΔt
c= cv or cp, ΔU=change in internal energy, W=work
flow work
Wf = FL = pAL = pV
F=force, L= length, p=pressure, A=area, V=volume or specific volume
enthalpy
h = u + Wf = u + pV
u=internal energy, Wf=flow work, p=pressure, V=volume or specific volume
work
W = Fd
F=force, d=distance
work for a nonflow system
Q = ΔPE + ΔKE + Δu + ΔWf + Wnf
work of a steady flow system
Wsf = ΔKE + ΔPE + Δu + ΔWf + Q = Δh + Q
Boyle’s Law
P1V1 = P2V2
Charles’ Law
V1/T1 = V2/T2
Gay Lussac’s Law
P1/T1 = P2/T2
general gas equation
pV = mRT = nRT
m=mass, n=moles
specific heat constant volume
Cv = R/k-1
specific heat constant pressure
Cp = kR/k-1
