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9 November, 13:43

A 32 L samples of xenon gas at 10°C is expanded to 35 L. Calculate the final temperature.

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  1. 9 November, 14:11
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    Final Temperature = 36.54 ⁰C

    Explanation:

    Lets suppose the gas is acting ideally, then according to Charle's Law, "The volume of a fixed mass of gas at constant pressure is directly proportional to the absolute temperature". Mathematically for initial and final states the relation is as follow,

    V₁ / T₁ = V₂ / T₂

    Data Given;

    V₁ = 32 L

    T₁ = 10 °C = 283.15 K ∴ K = °C + 273.15

    V₂ = 35 L

    T₂ = ?

    Solving equation for T₂,

    T₂ = V₂ * T₁ / V₁

    Putting values,

    T₂ = (35 L * 283.15 K) : 32 L

    T₂ = 309.69 K ∴ (36.54 °C)

    Result:

    As the volume is increased from 32 L to 35 L, therefore, the temperature must have increased from 10 °C to 36.54 °C.
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