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24 September, 10:28

What is the gas temperature after the expansion (in ∘C) ? Five grams of nitrogen gas at an initial pressure of 3.0 atm and at 20∘C undergo an isobaric expansion until the volume has tripled.

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  1. 24 September, 13:27
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    Gas temperature after the expansion = T₂ = 879.45 K = 606.3°C

    Explanation:

    For ideal gases, the general gas law is given by

    (P₁V₁/T₁) = (P₂V₂/T₂)

    P₁ = 3.0 atm

    V₁ = V

    T₁ = 20°C = 293.15 K

    P₂ = P₁ = 3.0 atm (since it's an isobaric process; constant pressure)

    V₂ = 3V

    T₂ = ?

    (3*V/293.15) = (3*3V) / T₂

    T₂ = (3*3V*293.15) / (3*V)

    T₂ = 879.45 K = 606.3°C
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