Why Does Enthalpy Decrease on Isothermal Compression?

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In an isothermal system, increasing pressure from 0 to 10 MPa causes a decrease in enthalpy due to the relationship between internal energy and volume. As the gas is compressed, the molecules have less space to move, which reduces internal energy. To maintain isothermal conditions, energy must be removed from the system, leading to a reduction in enthalpy. For real gases, enthalpy is pressure-dependent, unlike ideal gases, which complicates the relationship between enthalpy and pressure. Understanding these principles is essential for analyzing non-ideal gas behavior in thermodynamics.
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Homework Statement



Basically I just want to know why if I increase the pressure from 0 to 10MPa in a isothermal system containing oxygen, the enthalpy will decrease?

Homework Equations



Delta H = Delta U + delta PV

PV = nRT

PV = ZRT


The Attempt at a Solution



During a tutorial, I was actually told that because of the compression, the compressed molecules will have less space to move around which results in a decrease in internal energy. Honestly I don't get it.

If I have a compression taking place, doesn't that mean Work is done on the system? Wouldnt that mean in order to keep the system isothermal, energy would have to be removed from the system? which results in enthalpy being reduced?

In that case and also because at 10MPa the gas is not ideal, I used PV = ZRT but I can't find the link between this and Delta H = Delta U + delta PV.

Any help in clearing this doubt is really appreciated :D
 
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sero2000 said:

Homework Statement



Basically I just want to know why if I increase the pressure from 0 to 10MPa in a isothermal system containing oxygen, the enthalpy will decrease?

Homework Equations



Delta H = Delta U + delta PV

PV = nRT

PV = ZRT


The Attempt at a Solution



During a tutorial, I was actually told that because of the compression, the compressed molecules will have less space to move around which results in a decrease in internal energy. Honestly I don't get it.

If I have a compression taking place, doesn't that mean Work is done on the system? Wouldnt that mean in order to keep the system isothermal, energy would have to be removed from the system? which results in enthalpy being reduced?

In that case and also because at 10MPa the gas is not ideal, I used PV = ZRT but I can't find the link between this and Delta H = Delta U + delta PV.

Any help in clearing this doubt is really appreciated :D
Enthalpy is independent of pressure only for an ideal gas. For a real gas beyond the ideal gas region,
\frac{∂H}{∂p}=\left(V-T\frac{\partial V}{\partial T}\right)
Note, for an ideal gas, this is zero. There are generalized dimensionless graphs and tabulations in thermo books of the integral of this expression based on the corresponding states principal. You can use these to estimate the change in enthalpy for oxygen, from knowledge its critical properties. See Introduction to Chemical Engineering Thermodynamics by Smith and Van Ness.

Chet
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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