Thermodynamics - property relationship of 2 systems

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SUMMARY

The discussion centers on the thermodynamic properties of two containers with a pure substance, where Container 1 has twice the mass of Container 2. Both containers reach thermal equilibrium, leading to the conclusion that the pressure in Container 1 is twice that of Container 2, while the specific volume of Container 1 is half that of Container 2. These relationships are derived from the ideal gas law and the definition of specific volume, confirming the application of the zeroth law of thermodynamics regarding temperature equality.

PREREQUISITES
  • Understanding of the ideal gas law
  • Knowledge of specific volume calculations
  • Familiarity with the zeroth law of thermodynamics
  • Basic principles of thermodynamic equilibrium
NEXT STEPS
  • Study the ideal gas law and its applications in thermodynamics
  • Explore specific volume calculations for various states of matter
  • Investigate the implications of the zeroth law of thermodynamics
  • Learn about pressure-volume relationships in thermodynamic systems
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Students of thermodynamics, engineers working with fluid systems, and anyone seeking to understand the properties of substances in thermal equilibrium.

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Homework Statement


A pure substance is placed into two containers of the same volume. Container 1 has twice the mass of pure substance of Container 2. After the containers are shut and both reach thermal equilibrium with the surroundings, what do we know about:
a) the pressure of Container 1 compared to Container 2?
b) the specific volume of Container 1 compared to Container 2?

Homework Equations


Possibly an ideal gas law, but the question does not specify that the pure substance is an ideal gas.
specific volume = volume / mass

The Attempt at a Solution


The containers must have equal temperature according to the zeroth law of thermodynamics.
Container 1 must have half the specific volume of Container 2.

a) Pv = T, so the pressure of Container 1 is twice the pressure of Container 2.
b) specific volume = volume / mass, so Container 1 must have half the specific volume of Container 2.
 
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Is this the exact problem statement?
 

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