1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...
1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...
1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...
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§<br />
<br />
−<br />
<br />
1 ∂ V<br />
<br />
∂V <br />
∂T p<br />
∂p<br />
<br />
∂ − 1<br />
V<br />
<br />
<br />
<br />
dU = T dS + pdV<br />
<br />
<br />
∂T<br />
<br />
∂ 1<br />
T<br />
<br />
<br />
<br />
<br />
<br />
∂V<br />
∂p <br />
T<br />
T<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
= − 1<br />
V 2<br />
p<br />
∂U<br />
∂V<br />
∂S<br />
∂V<br />
∂S<br />
∂T<br />
<br />
∂U <br />
∂V T<br />
∂T<br />
<br />
= − 1<br />
V 2<br />
<br />
<br />
<br />
T<br />
∂V<br />
∂p<br />
<br />
<br />
<br />
T<br />
∂V<br />
∂T<br />
= T ∂p<br />
∂T<br />
<br />
<br />
<br />
<br />
<br />
<br />
V<br />
p<br />
∂V<br />
∂T<br />
<br />
<br />
<br />
p<br />
∂V<br />
∂p<br />
− p.<br />
dS = 1 p<br />
dU +<br />
T T dV.<br />
<br />
<br />
<br />
T<br />
<br />
<br />
<br />
V<br />
<br />
<br />
<br />
<br />
<br />
<br />
∂U<br />
∂V<br />
<br />
<br />
<br />
T<br />
= 1<br />
T<br />
= 1<br />
T<br />
∂U<br />
∂V<br />
∂U<br />
∂T<br />
<br />
<br />
<br />
T<br />
<br />
<br />
<br />
V<br />
∂2S ∂T ∂V = ∂2S ∂V ∂T ,<br />
V<br />
− 1<br />
T 2<br />
= T 2<br />
<br />
1<br />
T<br />
+ ∂ p<br />
T<br />
∂T<br />
<br />
<br />
<br />
V<br />
<br />
<br />
<br />
+ 1<br />
V<br />
T<br />
+ p<br />
T ,<br />
.<br />
= ∂ 1<br />
T<br />
∂V<br />
∂ 2 U<br />
∂T ∂V = ∂2 U<br />
∂V ∂T .<br />
∂U<br />
∂V<br />
∂p<br />
∂T<br />
<br />
<br />
<br />
T<br />
<br />
<br />
<br />
V<br />
+ ∂ p<br />
T<br />
∂T<br />
<br />
<br />
<br />
V<br />
− p<br />
T 2<br />
<br />
= 0.<br />
+ 1<br />
V<br />
<br />
∂U <br />
∂T V<br />
= T ∂p<br />
∂T<br />
∂ 2 V<br />
∂p ∂T .<br />
<br />
<br />
<br />
<br />
T<br />
∂ 2 V<br />
∂p ∂T .<br />
¥¥<br />
<br />
<br />
<br />
V<br />
,<br />
− p.