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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 />

pV = nRT<br />

p0 − αV 2 V = nRT<br />

p0V − αV 3 = nRT<br />

p0<br />

∂V<br />

∂T<br />

<br />

<br />

<br />

α<br />

∂V<br />

∂T<br />

<br />

<br />

<br />

2 ∂V<br />

− 3αV<br />

∂T<br />

α<br />

=<br />

nR<br />

<br />

<br />

<br />

∂<br />

∂T<br />

α<br />

p0 − 3αV 2<br />

Cα = CV + p0 − αV 2<br />

<br />

<br />

<br />

α<br />

= nR<br />

nR<br />

p0 − 3αV 2<br />

<br />

p/V = const Cx<br />

<br />

= Cp+Cv<br />

¥ <br />

2<br />

<br />

T (V ) =<br />

p0 − αV 2 V = nRT<br />

T (V ∗ ) = max.<br />

p0 − αV 2 V<br />

nR<br />

= p0 − αV 3<br />

nR<br />

dT (V )<br />

dV = 0 = p0 − 3αV 2<br />

nR<br />

V ∗ =<br />

Tmax = T (V ∗ ) = p0<br />

p0<br />

3α<br />

p0<br />

3α<br />

p0 p0<br />

− α 3α 3α<br />

nR<br />

= 2p0<br />

<br />

p0<br />

3nR 3α

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