Thanks for your greeting and correction!
So, we also can derive the internal energy relation from constant pressure and adapt for any process? Just texts favor start from constant volume?
Another thinking, why both energy relation (\Delta U = n\Delta T(Cv) = n\Delta T (Cp-R)) can adapt for any...
We known U=3/2nRT (monatomic ideal gas), just depends on temperature.
Most texts assert connecting U and Q with constant volume condition
and say"\Delta U = nCv\Delta T for any process because of internal energy only depends on temp".
I think that statement is very strange.
Deriving...