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What will be the minimum pressure requir...

What will be the minimum pressure required to compress 500 `dm^(3)` of air at 1 bar to 200 `dm^(3)` at `30^(@)C` ?

Text Solution

Verified by Experts

`P_(1)=1` bar, `V_(1)=500 dm^(3)`
`P_(2)=?, V_(2)=200 dm^(3)`
As temperature remains constant at `30^(@)C`, applying Boyle's law, `P_(1)V_(1)=P_(2)V_(2)`
`1 barxx500 dm^(3)=P_(2)xx200 dm^(3)" or "P_(2)=(500)/(200)bar=2.5 bar`
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Knowledge Check

  • The minimum pressure required to compress 600 dm^3 of a gas at 1 bar to 150 dm^3 at 40^@C is :

    A
    0.2 bar
    B
    1.0 bar
    C
    2.5 bar
    D
    4.0 bar

  • The minimum pressure required to compress 600 dm^3 of a gas at 1 bar to 150 dm^3 at 40^@C is :

    A
    0.2 bar
    B
    1.0 bar
    C
    2.5 bar
    D
    4.0 bar

  • The minimum pressure required to compress 600dm^3 of a gas at 1bar to 150dm^3 at 40^@C is

    A
    `4.0bar`
    B
    `0.2bar`
    C
    `1.0bar`
    D
    `2.5bar`

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