Air tank volume - piston calculation

[DeyanVY]

Hello,

I'm integrating a pneumatic mast to a vehicle. The mast is some sort of telescopic pneumatic piston.
The air for the mast will be supplied by an auxiliary air tank of the vehicle air system.
I want to define the auxiliary air tank volume so when the valve between the mast and the tank opens, the mast will get fully extracted using only the air inside the auxiliary tank (with some pressure drop) without the need for the air compressor to work.
In order to make the calculations I make the assumption that there is no significant heat transfer, because the process is relatively fast (about a minute and the half) and I'm ignoring all little losses of piston friction,piping and valves.
Is it correct to use polytropic isentropic process formulas for ideal gas on calculation the air tank volume?

Thank you

 

[LittleInch]

For sizing purposes that seems a good basis to use. It should get you within 10%.



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