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8 February, 20:08

Suppose 30.4 mol of krypton is in a rigid box of volume 46 cm3 and is initially at temperature 438.28°C. The gas then undergoes isobaric heating to a temperature of 824°C. (a) What is the final volume of the gas? (b) It is then isothermally compressed to a volume 24.3cm3; what is its final pressure? cm (a) Answer part (a) Answer part (b) (b) Pa

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  1. 8 February, 22:12
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    Initial volume v₁ = 46 x 10⁻⁶ m³

    Initial temperature T₁ = 438.28 + 273 = 711.28 K

    Initial pressure P₁ = nRT₁ / v₁

    = 30.4 x8.3 x 711.28 / (46 x 10⁻⁶)

    = 3901.5 x 10⁶ Pa

    Final temperature T₂ = 824 + 273 = 1097 K

    Final volume V₂ = ?

    For isobaric process

    v₁ / T₁ = V₂ / T₂

    V₂ = V₁ X T₂ / T₁

    = 46 X 10⁻⁶ X 1097 / 711.28

    = 70.94 X 10⁻⁶ m³ = 70.94 cm³

    b) For isothermal change

    P₁ V₁ = P₂V₂

    P₂ = P₁V₁ / V₂

    = 3901.5 X 10⁶ X 46 / 24.3

    7385.55 X 10⁶ Pa.
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