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SUMMARY

The discussion focuses on the isothermal compression of dry steam from 1 bar to 4 bar, with an initial volume of 0.5 m³. Participants confirm the use of the ideal gas law, specifically the equation PV=nRT, to derive the final volume after compression. The key formula derived is V2 = (P1V1)/P2, which simplifies to V2 = (1 x 0.5)/4. The conversation also highlights the importance of temperature and potential condensation effects when dealing with steam at varying pressures.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of isothermal processes in thermodynamics
  • Familiarity with pressure-volume relationships in gases
  • Basic concepts of steam properties and phase changes
NEXT STEPS
  • Study the implications of Boyle's Law in gas compression scenarios
  • Learn about the properties of steam and its phase transitions
  • Explore the effects of temperature on gas behavior during compression
  • Investigate real-world applications of isothermal compression in engineering
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Students and professionals in thermodynamics, mechanical engineers, and anyone involved in steam system design or analysis will benefit from this discussion.

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Homework Statement


Dry steam is compressed isothermally from a pressure of 1 bar to 4 bar. if the initial volume is 0.5 m^3, calculate the volume of the steam after compression

Homework Equations



Dont know

The Attempt at a Solution

 
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naim said:
Dry steam is compressed isothermally …

it means with the temperature staying constant :wink:

(from the greek "iso-", meaning "same")
 
so how do i calculate it , does anyone know the equation of how to do it?
 
Since this is dry (completely vapor state) you could model with the ideal gas law

PV=nRT

since it is isothermal T is does not change, therefore: n,R, and T are all constant and the right side of the equation is the same before and after compression, so
P1V1=P2V2

V2 = (P1V1)/P2 , plug and chug
 
do i convert the 1 bar ? or do i just keep it as
v2=(1x0.5)/4 ?
 
naim said:

Homework Statement


Dry steam is compressed isothermally from a pressure of 1 bar to 4 bar. if the initial volume is 0.5 m^3, calculate the volume of the steam after compression


Homework Equations



Dont know

The Attempt at a Solution

Is there anymore information, e.g., the temperature, or the amount of superheat? Using the ideal gas law, or Boyle's law would be appropriate for an approximation. If the temperature is at a saturation level between 1 bar and 4 bar, then at the intermediate pressure, there would be some condensation (vapor to liquid transformation).
 
no that was all the information that was given
 

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