In an adiabatic process, the walls of the system prevent heat exchange, therefore, \(dq=0\;\;\rightarrow dU=dw\).
The internal energy variation can be calculated with:
![](/images/termodinamica/primer-principio/gases-ideales-primer-principio/gases-ideales-primer-principio-38.png)
if \(C_v\) remains constant,
![](/images/termodinamica/primer-principio/gases-ideales-primer-principio/gases-ideales-primer-principio-39.png)
The enthalpy change is calculated with:
![](/images/termodinamica/primer-principio/gases-ideales-primer-principio/gases-ideales-primer-principio-40.png)
Remember that in adiabatic processes the equations must be used:
![](/images/termodinamica/primer-principio/gases-ideales-primer-principio/gases-ideales-primer-principio-41.png)
where \(\gamma=\frac{C_p}{C_v}\)