- #1
Amaelle
- 310
- 54
Good day all!
I have the following exercise
One kilo-mole of air expands adiabatically from an initial state p1=1 bar, T1=340 K to a final state V2= 2V1. Compute the temperature of the final state, for the following cases: Joule expansion (gas free expansion with W12=0)
My problem is with the joule expansion : in the joule expansion W12=0 and because we have an adiabatic process Q=0
so according to the first law of thermodynamics dU12=0 which means T2=T1 which I totally agree with
On the other hand we have an adiabatic process which means T1V1(k-1)=T2V2(k-1) so T2=T1*(V1/V2)(k-1) so accordingly T2 ≠T1?!
THIS IS THE POINT I'M STRUGGLING WITH AND ANY HELP WOULD BE HIGHLY APPRECIATED THANKS!
I have the following exercise
One kilo-mole of air expands adiabatically from an initial state p1=1 bar, T1=340 K to a final state V2= 2V1. Compute the temperature of the final state, for the following cases: Joule expansion (gas free expansion with W12=0)
My problem is with the joule expansion : in the joule expansion W12=0 and because we have an adiabatic process Q=0
so according to the first law of thermodynamics dU12=0 which means T2=T1 which I totally agree with
On the other hand we have an adiabatic process which means T1V1(k-1)=T2V2(k-1) so T2=T1*(V1/V2)(k-1) so accordingly T2 ≠T1?!
THIS IS THE POINT I'M STRUGGLING WITH AND ANY HELP WOULD BE HIGHLY APPRECIATED THANKS!