Gas Laws

Pressure or Volume

Constant  Temperature; T

Original pressure x Original Volume=Final pressure x Final Volume

P₁V₁=P₂V₂      Isothermic

Pressure or temperature

Constant Volume: V

Original Pressure x Final Temperature=Final Pressure x Original Temperature

P₁T₂=P₂T₁      Isochoric

Volume or Temperature

Constant Pressure P

Original Volume x Final temperature=Final Volume x Original temperature

V₁T₂=V₂T₁      Isobaric

Pressure or Volume

Temperature Change Due to Heat of Compression

Original Pressure x Original Volume ⁿ=Final pressure x Final Volume ⁿ

P₁V₁ⁿ=P₂V₂ⁿ

Final temp/Original temp = (Original Volume/Final Volume)^n-1

Final temp/Original temp =(Final pressure/Original Pressure)^n-1/n

T₂/T₁=(V₁/V₂)^n-1=(P₂/P₁)^n-1/n

P=psia(absolute)=psig (gauge pressure)+14.7psi

For nitrogen:

n=1.4 For full adiabatic conditions

n=1.3 For rapid cycling.

n=1.1 For normal cycling

n=1.0 Where gas time to return to normal temp before discharge or recharge