Adiabatic Expansion of Gas: Does the Number of Moles Affect the Calculation?

AI Thread Summary
The adiabatic factor gamma, defined as Cp,m / Cv,m, remains constant regardless of the number of moles of gas. When calculating properties like PV^gamma, the number of moles (n) cancels out, indicating that the calculations for adiabatic processes do not change with varying amounts of gas. This means that the behavior of the gas during adiabatic expansion is similar whether dealing with 1 mole or 100 moles. The focus should be on per mole quantities, which are independent of the total number of moles. Understanding this principle simplifies the analysis of gas behavior in adiabatic processes.
quietrain
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for 1 mole of gas, the adiabatic factor gamma is given by Cp,m / Cv,m
where the C are molar heat capacities

so if now i have 2 moles of gas

will my calculation change at all?

for example, if i use PVgamma = PVgamma

will anything change? it seems weird, it doesn't depend on the number of moles n

since n Cp,m / n Cv,m , the n cancels out

issn't this akin to saying adiabatic expansion of gas is the same for 1 mole VS 100 moles?
 
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Hi.

quietrain said:
for 1 mole of gas, the adiabatic factor gamma is given by Cp,m / Cv,m
where the C are molar heat capacities

so if now i have 2 moles of gas

will my calculation change at all?

for example, if i use PVgamma = PVgamma

will anything change? it seems weird, it doesn't depend on the number of moles n

since n Cp,m / n Cv,m , the n cancels out

issn't this akin to saying adiabatic expansion of gas is the same for 1 mole VS 100 moles?

Do not worry about moles n. Calculation of physical quantity per mole do not depend on n.

Regards.
 
alright thanks!
 
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