Question

What will be the minimum pressure required to compress 500 dm³ of air at 1 bar to 200dm³ if temperature is kept constant ?
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Answer 1

refer this image for your answer bro

Answer 2

Answer:

Volume of gas(V1) = 500dm3 (given)

Pressure of gas (p1) = 1 bar (given)

Volume of compressed gas (V2) = 200dm3 (given)

Now, let P2 be the pressure required to compress the gas.

Boyle’s Law states that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature.

Therefore at constant temperature P1 V1 = P2 V2 (Boyle’s Law)

As a result P2 = fraction numerator P subscript 1 V subscript 1 over denominator V subscript 2 end fraction = fraction numerator 1 cross times 500 over denominator 200 end fraction = 2.5 bar

Therefore, the minimum pressure required is 2.5 bar.