What will be the minimum pressure required to compress 500 dm^3 of air at 1 bar to 200 dm^3 at 30ºC?

Question

What will be the minimum pressure required to compress 500 dm³ of air at 1 bar to 200 dm³ at 30^oC?

Answer 1

P₁ = 1 bar

V₁ = 500 dm³

V₂ = 200 dm³

P₂ =?

According to Boyle's law,

P₁ V₁ = P₂ V₂

1 x 500 = P₂ x 200

P₂ = \(\frac{1\times500}{200}\) = 2.5 bar