# does heat capacity ratio, i.e cp/cv depends on pressure if ideal gas assumption is considered?

cp/cv does change with a change in temperature. But does it changes with pressure too if the temperature is kept constant?

For an ideal gaz, $$cp$$ and $$cv$$ are independant of pressure and so is the ratio. (First and second Joule law).

• could you please explain how so... with equations Feb 13 '19 at 13:55
• You can find the proof at :physics.stackexchange.com/questions/405822/… Feb 13 '19 at 15:52
• Does that mean that for a real gas, say air it is not constant? I landed here trying to figure out if the speed of sounds would show (minor) variations with changing pressure. Jan 8 '21 at 20:14