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Hi all,

For an Isothermal compression process of air in a vessel with constant volume, I found the following expressions

and

and

The first two give the same result, meanwhile the third gives another solution and I don't know why.

For adiabatic compression I found these two expression which also give different answers. Can someone please help me with this.

and

Let's say we have a 11 kWh to be stored in compressed air, P0 = 101325 Pa, P1 = 6.3 bar, P2 = 10 bar, and T0= 298 K. What would be the required air vessel volume?

For an Isothermal compression process of air in a vessel with constant volume, I found the following expressions

and

and

The first two give the same result, meanwhile the third gives another solution and I don't know why.

For adiabatic compression I found these two expression which also give different answers. Can someone please help me with this.

and

Let's say we have a 11 kWh to be stored in compressed air, P0 = 101325 Pa, P1 = 6.3 bar, P2 = 10 bar, and T0= 298 K. What would be the required air vessel volume?