Gas Expansions: Monoatomic vs Diatomic - Adiabatic Curve Slope Comparison

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In the discussion on gas expansions, it is established that for two diabatic expansions of gases A and B, if slopeA is greater than slopeB, gas A is monoatomic and gas B is diatomic. The relationship between pressure (P) and volume (V) during an adiabatic change is defined by the ratio of specific heats, γ = Cp/Cv. The slope of the PV graph during an adiabatic expansion is negative, indicating an inverse relationship between pressure and volume. The derivative dP/dV at a given point on this graph reflects the rate of change of pressure with respect to volume. Understanding these relationships is crucial for analyzing gas behavior in thermodynamic 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 \gamma = C_p/C_v).

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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