Why does a gas behave as ideal if the Isotherm and Isenthelp

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A gas behaves ideally when the isotherm and isenthalp are parallel because, for an ideal gas, internal energy is a function solely of temperature. This means that if the temperature remains constant, the internal energy will also remain constant, leading to u1 equaling u2. The relationship h = u + pv indicates that changes in enthalpy are related to changes in internal energy and pressure-volume work. Therefore, the equality of internal energy in an ideal gas process is due to its dependence on temperature alone. Understanding these principles clarifies the behavior of gases under ideal conditions.
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Homework Statement



Why does a gas behave as ideal if the Isotherm and Isenthalp are parallel.

Homework Equations


h=u+pv
T1=T2, P1V1=P2V2

The Attempt at a Solution


[/B]
h1=u1+p1v1, h2=u2+p2v2
h2=h1 so
u1+p1v1=u2+p2v2
and p1v1=p2v2
Does that mean internal energy for an ideal gas is zero?
I don't understand. Thanks in advance!
 
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No. It means that u1=u2
 
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Chestermiller said:
No. It means that u1=u2
Thanks! Why would internal energy be equal for an ideal gas process??
 
ScareCrow271828 said:
Thanks! Why would internal energy be equal for an ideal gas process??
For an ideal gas, the internal energy per unit mass is a unique physical property that depends only on the temperature, irrespective of the process. So, if the temperature is the same, the internal energy is the same.
 
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