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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

From the given data: `P_(1) = 1` bar , `P_(2) = ?`
`V_(1) = 500 dm^(3)` , `V_(2) = 200 dm^(3)`
Since temperature is constant, Boyle's law can be applied
`P_(1)V_(1)` or `P_(2) = (P_(1)V_(1))/(P_(2))`
`P_(2) = (1 "bar" ) xx (500 dm^(3))/((20 dm^(3))) = 2.5` bar.
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What will be the minimum pressur required to compress 500dm^(3) of air at 1bar to 200 cm^(3) at 30^(@)C ? .

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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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