Question

What will be the minimum pressure required to compress 500 cm of air at 1 atm to 200 cm at 30°C?
(1) 1 atm
(2) 2 atm
(3) 2.5 atm
(4) 0.4 atm​

Answer 1

Hey mate here's your 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.

Therefore at constant temperature p1V1 = p2V2 (boylee's law)

As a result P2= P1V1/ V2= 1* 500/200= 2.5 bar.

Therefore the minimum pressure required is 2.5 bar.

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