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

Volume of the gas,

V₁ = 500 dm³

Pressure of the gas

p₁ = 1 bar

Volume of the compressed gas,

V₂ = 200 dm³

Let p₂ be the pressure required to compressed the gas. Then at constant temperature

p₁V₁ = p₂V₂

or, p₂ = {p₁V₁}/{V₂}

= {1 bar x 500 dm³}/{200 dm³} = 2.5 bar