What is the pressure and volume of gas in different states?

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SUMMARY

The discussion focuses on a thermodynamic process involving a gas in a cylinder with a piston, initially at pressure P1 = 106000 Pa and volume V1 = 0.0014 m³ at 0 °C. The process includes four states: compression with a 30 kg metal block, heating to 100 °C, expansion after removing the block, and cooling back to the initial state. Key calculations involve determining the pressure and volume of the gas in states 2 and 4, utilizing the ideal gas law and principles of pressure exerted by the metal block.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Knowledge of thermodynamic processes (isothermal, isobaric)
  • Familiarity with pressure calculations (P = F/A)
  • Basic principles of heat transfer and temperature effects on gas behavior
NEXT STEPS
  • Study the ideal gas law and its applications in different thermodynamic processes
  • Learn about pressure calculations involving external forces on gas systems
  • Explore isothermal and adiabatic processes in gas behavior
  • Investigate the effects of temperature changes on gas volume and pressure
USEFUL FOR

Students studying thermodynamics, engineers working with gas systems, and anyone interested in understanding the behavior of gases under varying conditions.

asheik234
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Homework Statement



Frensley_Thermo_PV-Diagrams_012a.gif
Frensley_Thermo_PV-Diagrams_012b.gif
Frensley_Thermo_PV-Diagrams_012c.gif
Frensley_Thermo_PV-Diagrams_012d.gif


A cylinder has a base area of 0.016 m2 and is fitted with a piston that can freely move. Below the piston, the cylinder is filled with gas that has a pressure P1 = 106000 Pa, a volume V1 = 0.0014 m3, and a temperature of T1 = 0 ° C when in state 1. The gas is then taken through the following four-step process:
• An m = 30 kg metal block is placed on top of the piston, compressing the gas to state 2, with the gas still at T2 = 0 ° C.
• The cylinder is then put in contact with a boiling water bath, raising the gas temperature to T3 = 100 ° C in state 3.
• The metal block is then removed and the gas expands to state 4, still at T4 = 100 ° C.
• Finally, the cylinder is placed in contact with an ice-water bath, bringing the gas back to T1 = 0 ° C in state 1.

(a) Determine the pressure of the gas in state 2.


(b) Determine the volume of the gas in state 2.


(c) Determine the volume of the gas in state 4.


Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations


I'm not sure which equations to use


The Attempt at a Solution


The metal block on top of the piston is confusing me, any help would be appreciated.
 
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What relation holds for an ideal gas between P, V, T? The box on the piston means additional pressure of mg/A.

ehild
 

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