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25 August, 17:04

An ideal gas is at a pressure 1.00 Ã 105 n/m2 and occupies a volume 2.00 m3. if the gas is compressed to a volume 1.00 m3 while the temperature remains constant, what will be the new pressure in the gas?

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  1. 25 August, 20:43
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    The behavior of an ideal gas at constant temperature obeys Boyle's Law of

    p*V = constant

    where

    p = pressure

    V = volume.

    Given:

    State 1:

    p₁ = 10⁵ N/m² (Pa)

    V₁ = 2 m³

    State 2:

    V₂ = 1 m³

    Therefore the pressure at state 2 is given by

    p₂V₂ = p₁V₁

    or

    p₂ = (V₁/V₂) p₁

    = 2 x 10⁵ Pa

    Answer: 2 x 10⁵ N/m² or 2 atm.
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