Thermodynamics, saturated Pressure and temperature

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SUMMARY

This discussion centers on the relationship between temperature and pressure in thermodynamics, specifically within a rigid tank containing water at 90 degrees Celsius. The saturation pressure is identified as 70.14 kPa, illustrating how knowing one property allows for the determination of the other due to the principles of thermodynamic equilibrium and energy distribution among molecules. The ideal gas law (pV = nRT) is referenced as a foundational equation connecting these properties. The conversation also touches on the complexities introduced when both liquid and vapor phases are present in the system.

PREREQUISITES
  • Understanding of thermodynamic equilibrium
  • Familiarity with the ideal gas law (pV = nRT)
  • Knowledge of saturation pressure and temperature tables
  • Basic concepts of phase diagrams
NEXT STEPS
  • Research the Phase Rule and its implications in thermodynamics
  • Study the relationship between pressure, volume, and temperature in phase diagrams
  • Explore the concepts of specific volume for both liquid and vapor phases
  • Investigate the effects of volume changes on pressure and temperature in rigid tanks
USEFUL FOR

Students and professionals in mechanical engineering, chemical engineering, and anyone studying thermodynamics, particularly those interested in the properties of fluids and phase behavior.

kidsasd987
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I wonder why we can find temperature (or pressure )when the other property value is given.Lets say we have a rigid tank, which contains 50Kg of water at 90 degree celsius.
If we look up the thermodynamics table, we can find the saturation pressure 70.14 kpa and definite liquid and gas specific volume.

But why should it be? why knowing the state(temp or pressure) of one property determines the state of the other property and specific volumes?

Is there any formula related to this?
 
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I wonder why we can find temperature (or pressure )when the other property value is given.
There is one other thing you need to know: that the stuff is at thermodynamic equilibrium.

Basically it has to do with distribution of energy over the molecules. If we pick temperature as independent variable, the energy is distributed in such a way that the average kinetic energy of the molecules causes a specific pressure. Things are connected in the equation of state of the mateerial (simplest case: ideal gas law pV = nRT).
 
BvU said:
There is one other thing you need to know: that the stuff is at thermodynamic equilibrium.

Basically it has to do with distribution of energy over the molecules. If we pick temperature as independent variable, the energy is distributed in such a way that the average kinetic energy of the molecules causes a specific pressure. Things are connected in the equation of state of the mateerial (simplest case: ideal gas law pV = nRT).

Thanks. it makes sense. so if we change the volume of the rigid tank. it will lower the pressure the tank, and also temperature because energy will be dispersed over extra space. If we heat up the rigid body and let the temperature rise to 90 degree celsius, then pressure will accordingly go up and result in the consistent pressure temperature specific volume relation.

Can I understand this as equal distribution of energy over the space?
 
I'd say yes.

Note that things can become complicated easily: e.g. when there is liquid and vapour in the tank and you increase the volume, then a) the gas does pV work and b) liquid will evaporate.
 
BvU said:
I'd say yes.

Note that things can become complicated easily: e.g. when there is liquid and vapour in the tank and you increase the volume, then a) the gas does pV work and b) liquid will evaporate.
Thanks!
 
kidsasd987 said:
Thanks!
Have you ever heard of the Phase Rule? If so, please state it.
 
Chestermiller said:
Have you ever heard of the Phase Rule? If so, please state it.

hmm unfortunately no. I will do some reading about phase Rules. I appreciate you for telling me a key word. I actually tried to figure out how we get a phase diagram and what's the relationships between Pressure Volume and temperature.
 

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