Gas Expansions: Monoatomic vs Diatomic - Adiabatic Curve Slope Comparison

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    Adiabatic Curve Slope
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SUMMARY

The discussion centers on the comparison of adiabatic expansions of monoatomic and diatomic gases, specifically analyzing the slopes of their pressure-volume (P/V) curves. It is established that if the slope of gas A's curve is greater than that of gas B (slopeA > slopeB), gas A is monoatomic while gas B is diatomic. The relationship between pressure (P) and volume (V) during an adiabatic change is defined by the ratio \(\gamma = C_p/C_v\), where C_p is the specific heat at constant pressure and C_v is the specific heat at constant volume. The slope (dP/dV) of the P/V graph at any point is negative, indicating an inverse relationship between pressure and volume during adiabatic expansion.

PREREQUISITES
  • Understanding of adiabatic processes in thermodynamics
  • Familiarity with the concepts of monoatomic and diatomic gases
  • Knowledge of the specific heat capacities (C_p and C_v)
  • Basic calculus, particularly derivatives
NEXT STEPS
  • Study the derivation of the adiabatic condition for ideal gases
  • Explore the implications of the \(\gamma\) ratio on gas behavior
  • Learn about the graphical representation of adiabatic processes in PV diagrams
  • Investigate real-world applications of adiabatic expansions in engineering
USEFUL FOR

This discussion is beneficial for students and professionals in thermodynamics, physicists, and engineers interested in the behavior of gases during adiabatic processes.

anigeo
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if there are two diabatic expansions of gases A and B and slope of their P/V curve are in this way: slopeA> slopeB then

which gas is monoatomic and which is diatomic?
 
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anigeo said:
if there are two diabatic expansions of gases A and B and slope of their P/V curve are in this way: slopeA> slopeB then

which gas is monoatomic and which is diatomic?
If you plot the PV graph of an adiabatic expansion, is the slope negative or positive?

What is the relationship between P and V during an adiabatic change (hint: it involves [itex]\gamma = C_p/C_v[/itex]).

What is dP/dV (slope) of this graph at a given point? (hint: think derivative, dP/dV of the graph).

AM
 
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