Marian Cholewa 

 

Katedra Fizyki 

Politechnika Rzeszowska 

Semestr zimowy, rok 2011/2012 

Lekcja 9                                                                                                                             Strona 1 

Heron’s engine 

Srirling engine 

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Praca wykonana przez gaz w stałej temperaturze 

pV

nRT



 

,

nRT

p V

T

Const

V





 





ln

ln

ln

konc

końc

końc

końc

pocz

pocz

pocz

pocz

V

V

V

V

V

V

V

V

końc

pocz

nRT

dV

W

p V dV

dV

nRT

nRT

V

V

V

nRT

V

V



















ln

końc

pocz

V

W

nRT

V



Lekcja 9                                                                                                                             Strona 14 

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Przemiana adiabatyczna 

,

0,

w

w

E

Q

W

Q

W

p dV

E

p dV



   

 

 



 

w

V

E

nC T



(gaz doskonały, dowolny proces) 

V

V

nC dT

p dV

p

ndT

dV

C

 

 

1) 

2) 

3) 

pV

nRT

pdV

Vdp

nRdT

pdV

Vdp

ndT

R











Lekcja 9                                                                                                                             Strona 17 

4) 

1

0

p

V

p

V

p

V

V

p

V

V

p

V

p

V

R

C

C

pdV

Vdp

ndT

C

C

pdV

Vdp

p

dV

C

C

C

C

C

pdV

Vdp

p

dV

C

C

pdV

Vdp

p

dV

C

C

Vdp

pdV

C













 







 























Przemiana adiabatyczna 

Lekcja 9                                                                                                                             Strona 18 

 

,

ln

ln

ln

ln

ln

p

V

p

V

C

dp

dV

p

C

V

C

dp

dV

p

V

C

p

V

const

p

V

const

pV

const











 

 



 













pV

const





Przemiana adiabatyczna 

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Gazy doskona

łe 

Definicja konstanty Boltzmanna: 

23

1,38 10

J K

A

R

k

N









Inna postać równania stanu gazu doskonałego: 

pV

NkT



Lekcja 9                                                                                                                             Strona 24 

Lekcja 9                                                                                                                             Strona 25 

Brownian motion simulation