How much heat energy is transferred to or from the gas

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SUMMARY

The discussion focuses on calculating heat energy transfer and changes in thermal energy for a monatomic gas undergoing specific processes. The ideal gas law, represented as pV=nRT, and the first law of thermodynamics, expressed as ΔE_th=W+Q, are central to the calculations. The change in internal energy is defined by the equation ΔU = nC_vΔT, where C_v for a monatomic gas is 3/2 R. Participants seek clarity on how to relate pressure and volume to heat energy and how to compute total energy changes between defined states.

PREREQUISITES
  • Understanding of the ideal gas law (pV=nRT)
  • Knowledge of the first law of thermodynamics (ΔE_th=W+Q)
  • Familiarity with internal energy calculations (ΔU = nC_vΔT)
  • Concept of specific heat capacity for monatomic gases (C_v = 3/2 R)
NEXT STEPS
  • Study the derivation and application of the ideal gas law (pV=nRT)
  • Explore the first law of thermodynamics in detail (ΔE_th=W+Q)
  • Learn about specific heat capacities for different types of gases
  • Investigate the relationship between work done and heat transfer in thermodynamic processes
USEFUL FOR

Students and professionals in thermodynamics, physics enthusiasts, and anyone involved in the study of gas laws and energy transfer in physical systems.

Meteo
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0.250 mol of a monatomic gas follows the process shown in the figure.
attachment.php?attachmentid=5591&stc=1&d=1132268995.jpg


How much heat energy is transferred to or from the gas during process 1 to 2?

How much heat energy is transferred to or from the gas during process 2 to 3?

What is the total change in thermal energy of the gas?

I am not sure how to relate pressure and volume to heat energy.

I have [tex]pV=nRT[/tex] and [tex]\Delta E_{th}=W+Q[/tex]

Also for the third question. would I just subtract the energy at point 3 from the energy at
point 1?
 

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Meteo said:
0.250 mol of a monatomic gas follows the process shown in the figure.
attachment.php?attachmentid=5591&stc=1&d=1132268995.jpg

How much heat energy is transferred to or from the gas during process 1 to 2?
How much heat energy is transferred to or from the gas during process 2 to 3?
What is the total change in thermal energy of the gas?
I am not sure how to relate pressure and volume to heat energy.
I have [tex]pV=nRT[/tex] and [tex]\DeltaE_th=W+Q[/tex]
Also for the third question. would I just subtract the energy at point 3 from the energy at point 1?

The change in internal (thermal) energy of the gas is:

[tex]\Delta U = nC_v\Delta T = \Delta Q + W[/tex] where W is the work done to the gas (use -W if W is the work done by the gas).

What is [itex]C_v[/itex] for an ideal monatomic gas?

AM
 

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