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51 Cards in this Set
- Front
- Back
density of a fluid at rest
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p2 = p1 + (rho)g(y1-yo0)
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gauge pressure
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Pabs = Pgauge + P0
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pressure
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p=F/A
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density
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(rho)=m/V
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Pascal's Principle
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F1/A1=F2/A2
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Archemide's Principles (buoyancy)
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Fb=(rho)Vg
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equation of continuity/volumetric flow rate
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A1v1=A2v2
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Bernoulli's equation
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p1+.5(rho)v1^2+(rho)gy1=p2+.5(rho)v2^2+(rho)gy2
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ideal gas law
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pV=nRT
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ideal gas law 2
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pV=NKbT
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number of moles
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m/M=N/Na
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0th law of thermodynamics
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2 connected objects at thermal equilibrium with each other are at same temperature
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Kelivin to Celcius
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Tc=T-273K
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celcius to farenheit
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Tf=9/5Tc+32f
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change in length
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(alpha)Li(delta)T
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change in area
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(gamma)Ai(delta)T
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change in volume
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(beta)Vi(delta)T
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molecular interpretation of pressure
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p=(2/3)(N/V)(.5mvave^2)
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molecular interpretation of temperature
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(3/2)KbT=.5mvave^2
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Total kinetic energy of N molecules
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KEtot=N(.5mvave^2)=(3/2)NKbT=(3/2)nRT
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equipartition theorem
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each degree of freedom contributes .5KbT of energy
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internal energy of monatomic gas
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KE=(3/2)nRT
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.5KbT of monatomic gas
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.5mvavex^2=.5mvavey^2=.5mvavez^2
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most probable velocity of molecule of monatomic gas
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vmp=sqrt(2KbT/m)
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average velocity of molecule of monatomic gas
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vave=sqrt(8KbT/(pi)m)
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change in energy from temperature change
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Q=mc(delta)T
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change in energy from phase change
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+-mL(f or v)
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molar equation for change in energy from temperature change at constant volume
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Q=nCv(delta)T
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molar equation for change in energy from temperature change at constant pressure
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Q=nCp(delta)T
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(delta)Eint or (delta)U for all gases
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nCv(delta)T
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R for all gases
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R=Cp-Cv
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gamma for all gases
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(gamma)=Cp/Cv
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Cv for monatomic gases
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Cv=(3/2)R
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Cp for monatomic gases
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Cp=(5/2)R
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gamma for monatomic gases
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(gamma)=5/3
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total number of degrees of freedom for diatomic gas
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7
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constants in adiabatic process
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PV^(gamma)
TV^((gamma)-1) |
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work in adiabatic process
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W=(PiVi-PfVf)/((gamma)-1)=nCv(Ti-Tf)
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(delta)Eint or (delta)U
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(delta)Eint=Q-W
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process in which there is no heat exchange
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adiabatic
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process in which there is no change in pressure
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isobaric
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process in which there is no change in volume
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isochoric / isovolumetric
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process in which there is no change in temperature
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isothermal
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2nd law of thermodynamics (form 1)
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there is no perfect engine
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COP(heat)
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|Qh|/W=|Qh|/(|Qh|-|Qc|)=COP(heat)
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efficiency
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e=W/|Qh|=(|Qh|-|Qc|)/|Qh|
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2nd law of thermodynamics (form 2)
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there is no perfect refrigerator
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COP(cool)
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|Qc|/W=|Qc|/(|Qh|-|Qc|)
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2nd law of thermodynamics (form 3)
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in any thermodynamic process that proceeds from one equilibrium state to another, the entropy of the system and environment either remains unchanged or increases
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change in entropy of reversible process
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(delta)S=Sf-Si=(integral of)dQr/T
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change in entropy of an irreversible process
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(delta)S=Sf-Si=(integral of)dQ/T
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