To find the gas pressure in the cylinder after the compression, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's Law equation:
P₁ * V₁ = P₂ * V₂
Where: P₁ = Initial pressure (1 ATM) V₁ = Initial volume (2.5 x 10^3 L or 2500 L) P₂ = Final pressure (unknown) V₂ = Final volume (20 L)
Rearranging the equation to solve for P₂:
P₂ = (P₁ * V₁) / V₂
Plugging in the values:
P₂ = (1 ATM * 2500 L) / 20 L
P₂ ≈ 125 ATM
Therefore, the gas pressure in the cylinder after compression would be approximately 125 ATM.