Comparing thermo dynamic processes

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SUMMARY

The discussion focuses on the thermodynamic processes involving 1.2 mol of an ideal gas with a specific heat ratio (gamma) of 1.67, initially at a pressure of 3.60 x 105 Pa and a temperature of 300 K, undergoing compression to half its volume. The work done on the gas is calculated for three processes: isothermal, adiabatic, and isobaric. The absolute value of the change in internal energy is greatest during the isobaric process and least during the isothermal process, as the internal energy change is zero at constant temperature.

PREREQUISITES
  • Understanding of ideal gas laws and equations (PV = nRT)
  • Knowledge of thermodynamic processes: isothermal, adiabatic, and isobaric
  • Familiarity with the concept of internal energy and its relation to temperature
  • Basic calculus for calculating work done in thermodynamic processes
NEXT STEPS
  • Study the derivation of work done in isothermal processes for ideal gases
  • Learn about the first law of thermodynamics and its application in different processes
  • Explore the concept of internal energy in detail, particularly for adiabatic processes
  • Investigate real gas behavior and deviations from ideal gas laws under various conditions
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, physics enthusiasts, and professionals in engineering fields who require a solid understanding of gas behavior under different thermodynamic processes.

icelated
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Homework Statement



in a cylinder, 1.2 mol of an ideal gas, gamma = 1.67 initially at 3.60 x10^5 pa
and 300k, is compressed until the volume is halved.

I need help with 1) c
and
2)

Compute work done on the gas if the compression is:

1)

a) isothermal
b) adiabatic
c) isobaric

2) in which case is the absolue value of the change in internal energy of the gas the greatest? least?

Homework Equations



I think i have a and b worked out.

The Attempt at a Solution



for c) would this be the correct approach?

is this part correct?

V1 = ?
V2 = 1/2V1

w = p(V2 - V1)
w = p(1/2v - v)

pv = nrt

w = -1/2nrt?

2) greatest is isobaric because?
least is isothermal because delta u =0 constant temp and temp is related to change in internal energy.
 
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How can the gas get compressed if the process is isobaric? What other property must change?
 
the volume is being compressed. But, th pressure remains constant so the area of work is less than the other 2 processes? Adiabatic is the most?
 

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