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

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Solution

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,

Therefore, the minimum pressure required is 2.5 bar.

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