shimi fizik
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α
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× ×
= =
=
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α
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∝
=
=
PVT
∝
∝
∝
∝
=
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× ×= = =
R :
=
− −×= =×
×
×
×
×
×
×
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= + + + = ∑
= = =
= = =
= + +
mole fraction
=
= + + + +
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= = =
= = =
=
=
=
=
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′= +
′
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=
Virial equation
= + + +
= + + +
⋅ =
=
= = =
−== ×
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= = =
The law of corresponding states
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=
=
=
= =
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η
η = =
η=
η
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µ
− −
=
× =
= = = = ⇒ =
λ
=
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= + +
= ⇒ =
=
=
= ⇒ = =
=
= ×
=
= ⋅
=
=
= ⋅
=
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= °
=
−= × × =
=
= ⋅ ⋅
=
− −= = ×
− −= = × × × = ×
= ⇒ ⋅ = ⋅ ⇒ = =
= ⇒ =
r.m.s
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= + +
= + +
= + +
= =
=
= = =
+
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−
= ⋅ ⋅
=π
−= ⋅ ⋅
π
−= ⋅
π
− − −= ⋅ ⋅ ⋅ ⋅ ⋅ ⋅
π π π
= + +
−= ⋅
⋅ ⋅ π
−= ⋅ ⋅
π
π⋅ ⋅
−= π ⋅ ⋅ ⋅
π
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=
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:
= =
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− = ⇒ =−
π = π
= π
= π = π
= π
.
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=−
= −−
+ − =
:
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+ − =
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= −−
= −= − ⇒ −− −−
= + ⇒ = +− −
= −= − ⇒ −−
=
=
=
=
= ⇒ =
= ⇒ = ⇒ =
= ⇒ = × ⇒ =
=
=
=
+ − =
+ − =
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= −−
= − ⇒ = −− −
−= − ⇒ = − −−
= + + + −
= + − +
−
− =
== = =
=
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−
−
−
−
×
=
= ⋅
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= ⋅∫
⋅
←∆
←∆
→
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•
•
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∆
−
∆
−
−
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∆
−
∆
−
−
−
∆
−
∆
−
∆
∆
∆
∆
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= ⋅ ⇒ = −
∫ ∆
= ⋅∫
= −
−
= ⋅ + ⋅
∫ ∫
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δδδδδδδδ ∆∆∆∆∆∆∆∆
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= ⇒ =
= ⋅ ⇒ = ∫
= ∫
=
= =
=
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= ⋅∫
−
−
−
−
∆
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Enthalpy function
∆
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∆ ∆
∆ = − = −
∆ = − ∆
∆ = − −
− = − −
+ − + =
+ − + =
∆
→
∆ ∆
∆
∆
∆
∆
∆
∆
∆
∆
∆ ∆
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∆
∆
→
∆
∆
∆
∆
∆
∆
∆
∆
∆
∆
∆ ∆ ∆
∆
∆
∆ − ∆ − − ∆ −
∆
∆
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∆ = −
∂ ∂ ∂ = ⋅ + ⋅ + ⋅ ∂ ∂ ∂
∂ ∂ = ⋅ + ⋅ ∂ ∂
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∂ ∂ ∂ ∂
∂ = ∂
∂ = ⋅ ∂
∂ = ∂
∂ = ∂
= ⋅
∆ = − = ⋅∫
∂ = ⋅ ∂
∂ ∂
∂ ∂ = ∂ ∂
∂∂
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∂ ∂ = ∂
∂
∂ = ⋅ ∂
∂ ∆ = ⋅ ∂ ∫
∆ = ⋅ = ⋅ ∆∫
∂∂∂∂ ∂∂∂∂
∂ ∂ ∂ ∂ ⋅ + ⋅ + ⋅ + ⋅ = ∂ ∂ ∂ ∂
∂ ⋅ = ∂
≠
∂ = ∂
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∂ ∂ = ⋅ + ⋅ ∂ ∂
∂ ∂ = ⋅ + ⋅ ∂ ∂
∂ = = ⋅ ∂
∂ = = ∂
= ⋅
∆ = ⋅∫
∂
∂
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∂ = ⋅ + ⋅ ∂
∂
∂
∂ ∂ ⋅ + ⋅ = ⋅ + ⋅ + ⋅ + ⋅ ∂ ∂ ( )
∂
∂ ∂ ∂ = + + ∂ ∂ ∂
∂ = ∂
∂ ∂
∂ ∂
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∆ = − = − = −
− = − −
µ
∂ µ = ∂
∂ = ⋅ + ⋅ ∂
∂ = ⋅ + ⋅ ∂
∂
∂ ∂ ⋅ + = ∂ ∂
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∂ = − ⋅µ ∂
µ
∂
∂
C p C
v
∂ = ∂
∂ = ∂
∂ ∂ − = − ∂ ∂
∂ ∂ ∂ = + ∂ ∂ ∂
∂ ∂ ∂
− = + − ∂ ∂ ∂
∂ ∂ = ⋅ + ⋅ ∂ ∂ ( )
∂
∂ ∂ ∂ ∂ = ⋅ + ∂ ∂ ∂ ∂
∂ ∂
∂ ∂ ∂ − = ⋅ + ∂ ∂ ∂
∂
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