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Two ideal gas systems with equal number of moles of the
same gas undergo reversible expansion starting from the
same P and V. At the end of the expansion, two systems have
the same volume. The pressure in the system that has
undergone adiabatic expansion is lower than in the system
that has undergone isothermal expansion. Explain the result.
Solution
In the system undergoing adiabatic expansion, all the work
done must come through the lowering of ?U, and therefore of
the temperature. By contrast, some of the work done in the
isothermal expansion can come at the expense of the heat
that has flowed across the boundary between the system and
surroundings.

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Two ideal gas systems with equal number of moles of the same gas undergo reversible expansion starting from the same P and V. At the end of the expansion, two systems have the same volume. The pressure in the system that has undergone adiabatic expansion is lower than in the system that has undergone isothermal expansion. Explain the result. Solution In the system undergoing adiabatic expansion, all the work done must come through the lowering of ?U, and therefore of the temperature. By contrast, some of the work done in the isothermal expansion can come at the expense of the heat that has flowed across the boundary between the system and surroundings. Name: Description: ...
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