The Adiabatic Expansion of an Ideal Gas

The Adiabatic Expansion of an Ideal Gas - V is related to U...

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The Adiabatic Expansion of an Ideal Gas During an adiabatic expansion of an ideal gas no heat is added or extracted from the system. This can be achieved by either expanding the gas very quickly (such that there is not time for the heat to flow) or by very well insulating the system. The first law of thermodynamics tells us that The ideal gas law can be used to rewrite p V: or The specific heat capacity C
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Unformatted text preview: V is related to U Using the first law of thermodynamics we can write or Combining the two expressions obtained for n . T we obtain or This expression can be rewritten as For small changes this can be rewritten as where we have defined as (C p /C V ). After integrating this expression we obtain or Using the ideal gas law to eliminate p from the expression we obtain Thus...
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The Adiabatic Expansion of an Ideal Gas - V is related to U...

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