teoria cinética dos gases pt2
TRANSCRIPT
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Nem todas moléculas tem a mesma velocidade...Com o que fizemos anteriormente, apenas podemos dizer sobre a velocidade quadrática média.
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Distribuição de velocidades moleculares de Maxwell
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Distribuição de velocidades moleculares de Maxwell
Segundo a Wikipedia…
“Certain quantities in physics are distributed normally, as was first demonstrated by James Clerk Maxwell. Examples of such quantities are:
Velocities of the molecules in the ideal gas.
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Distribuição de velocidades moleculares de Maxwell
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Distribuição de velocidades moleculares de Maxwell
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Distribuição de velocidades moleculares de Maxwell
http://demonstrations.wolfram.com/TheMaxwellSpeedDistribution/
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Distribuição de velocidades moleculares de Maxwell
The speed probability density functions of the speeds of a few noble gases at a temperature of 298.15 K (25 °C).
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Teorema Virial
Segundo o livro
Modern theories of gaes represent the equation of state of a gas using a so-called virial expansion
Segundo a Wikipédia
The classical virial expansion expresses the pressure of a many-particle system in equilibrium as a power series in the density. The virial expansion was introduced in 1901 by Heike Kamerlingh Onnes as a generalization of the ideal gas law. He wrote for a gas containing N atoms or molecules
p pressão
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Gases: Comparação com o experimento
Usando, P=101325 Pa e T = 273,15 K
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Dados de expasividade térmica dos gases
Aquecendo com pressão constante
Ou seja, é proporcional ao volume inicial, à uma constante e à variação de temperatura. Então,
ou
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Dados de expasividade térmica dos gases
Aquecendo com volume constante
Ou seja, é proporcional ao volume inicial, à uma constante e à variação de temperatura. Então,
ou
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Dados de expasividade térmica dos gases
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Dados de expasividade térmica dos gases
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Dados de expasividade térmica dos gases
Entendendo os dados...
Aquecendo a pressão constante
E usando
e
Substituindo na equação acima
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Dados de expasividade térmica dos gases
e
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Dados de expasividade térmica dos gases
e
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Dados de expasividade térmica dos gases
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Dados de expasividade térmica dos gases
)
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Dados de expasividade térmica dos gases
)
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Dados de expasividade térmica dos gases
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Dados de expasividade térmica dos gases
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Dados de expasividade térmica dos gases
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Dados de expasividade térmica dos gases
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Dados de expasividade térmica dos gases
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Dados de expasividade térmica dos gases
Usando
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Referênciashttp://en.wikipedia.org/wiki/Maxwell%E2%80%93Boltzmann_distribution
http://en.wikipedia.org/wiki/Maxwell%E2%80%93Boltzmann_statistics
http://en.wikipedia.org/wiki/Normal_distribution
http://physicsofmatter.com/
http://en.wikipedia.org/wiki/Virial_theorem
http://en.wikipedia.org/wiki/Virial_expansion
http://www.mrao.cam.ac.uk/teaching/sqp