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Transformaciones Termodin´amicas de los gases Ideales Transformaci´on Ecuaci´on de la Transformaci´on Relaci´onentre los parametros de estado Trabajo Energia interna Calor Is´ocora V = cte P T = cte W =0 ΔU = C v ΔT Q U Isob´arica P = cte V T = cte W = P (V 2 - V 1 ) ΔU = C v ΔT Q = C p ΔT Isot´ ermica T = cte PV = cte W = nRT ln( V 2 V 1 )= nRT ln( P 1 P 2 ) ΔU =0 Q = W Adiabatica Q =0 PV γ = cte PT γ 1-γ = cte VT 1 γ-1 = cte W = -ΔU W = 1 γ-1 (P 1 V 1 - P 2 V 2 ) W = nRT 1 γ-1 (1 - P 2 P 1 γ-1 γ ) W = P 1 V 1 γ-1 (1 - V 2 V 1 1-γ ) ΔU = C v ΔT Q =0

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Page 1: Formulario-Termodinámica-2

Transformaciones Termodinamicas de los gases Ideales

TransformacionEcuacion

de laTransformacion

Relacion entrelos parametros

de estadoTrabajo Energia interna Calor

Isocora V = cte PT

= cte W = 0 ∆U = Cv∆T Q = ∆U

Isobarica P = cte VT

= cte W = P (V2 − V1) ∆U = Cv∆T Q = Cp∆T

Isotermica T = cte PV = cte W = nRT ln(V2

V1

) = nRT ln(P1

P2

) ∆U = 0 Q = W

Adiabatica Q = 0

PV γ = cte

PTγ

1−γ = cte

V T1

γ−1 = cte

W = −∆U

W = 1

γ−1(P1V1 − P2V2)

W = nRT1

γ−1(1 −

(

P2

P1

)γ−1

γ

)

W = P1V1

γ−1(1 −

(

V2

V1

)

1−γ

)

∆U = Cv∆T Q = 0