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Consider a classical gas of N atoms. The Helmholtz free energy of a quantum gas made of N indistinguishable atoms, where N is a large number, is equal to F = -Nk,T|1+ In () +in 3. (2itmkpT\| h² where m is the mass of the atoms, V the volume of the container, T the temperature of the gas, kɛ is Boltzmann's constant and h is Planck's constant. Use this function to derive the equation of state for the ideal

Consider a classical gas of N atoms. The Helmholtz free energy of a quantum gas made of N indistinguishable atoms, where N is a large number, is equal to F = -Nk,T|1+ In () +in 3. (2itmkpT\| h² where m is the mass of the atoms, V the volume of the container, T the temperature of the gas, kɛ is Boltzmann's constant and h is Planck's constant. Use this function to derive the equation of state for the ideal

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Consider a classical gas of N atoms. The Helmholtz free energy of a quantum gas made of N indistinguishable atoms, where N is a large number, is equal to F = -NkgT 1+ In 3 +-In (2rmkBT\] h2 where m is the mass of the atoms, V the volume of the container, T the temperature of the gas, kg is Boltzmann's constant and h is Planck's constant. Use this function to derive the equation of state for the ideal gas.
Transcribed Image Text:Consider a classical gas of N atoms. The Helmholtz free energy of a quantum gas made of N indistinguishable atoms, where N is a large number, is equal to F = -NkgT 1+ In 3 +-In (2rmkBT\] h2 where m is the mass of the atoms, V the volume of the container, T the temperature of the gas, kg is Boltzmann's constant and h is Planck's constant. Use this function to derive the equation of state for the ideal gas.
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