Question

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

Answer 1

Given,

Initial pressure, p₁ = 1 bar

Initial volume, V₁ = 500 dm³

Final volume, V₂ = 200 dm³

Since the temperature remains constant, the final pressure (p₂) can be calculated using Boyle’s law.

According to Boyle’s law,

`"p"_1"V"_1 = "p"_2"V"_2`

`=>"p"_2 = ("p"_1"V"_1)/"V"_2`

`= (1xx500)/200 "bar"`

`= 2.5" bar"`

Therefore, the minimum pressure required is 2.5 bar.