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[tex] dQ=dU+p dV[/tex]

but the specific heat to volumen (in a perfect gas) cte is:

[tex] C_v = \frac{dQ}{dT} = \frac{dU}{dT}[/tex]

why if in adiabatic proces [tex] dQ=0[/tex], then [tex]C_v \neq 0[/tex] ??

http://en.wikipedia.org/wiki/Adiabatic_process#Ideal_gas_.28reversible_process.29