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Suppose that the energy of a particle can be represented by the expression: E(z) = az", where z is a coordinate or momentum and can take on all values from -∞ to +∞. a. Show that the average energy per particle for a system of such particles subject to Boltzmann statistic will be (E)==k₂T. b. State the principle of equipartition of energy and discuss briefly its relation to the above

Suppose that the energy of a particle can be represented by the expression: E(z) = az", where z is a coordinate or momentum and can take on all values from -∞ to +∞. a. Show that the average energy per particle for a system of such particles subject to Boltzmann statistic will be (E)==k₂T. b. State the principle of equipartition of energy and discuss briefly its relation to the above

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Suppose that the energy of a particle can be represented by the expression: E(z) = az², where z is a coordinate or momentum and can take on all values from -∞ to +∞. a. Show that the average energy per particle for a system of such particles subject to Boltzmann statistic will be (E) = k₁T. b. State the principle of equipartition of energy and discuss briefly its relation to the above calculation.
Transcribed Image Text:Suppose that the energy of a particle can be represented by the expression: E(z) = az², where z is a coordinate or momentum and can take on all values from -∞ to +∞. a. Show that the average energy per particle for a system of such particles subject to Boltzmann statistic will be (E) = k₁T. b. State the principle of equipartition of energy and discuss briefly its relation to the above calculation.
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