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25 June, 05:59

A 45 mL sample of nitrogen gas is cooled from 135ºC to 15 C in a container that can contract or expand at constant pressure. What is the new volume of the nitrogen gas?

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  1. 25 June, 06:25
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    V₂ = 31.8 mL

    Explanation:

    Given dа ta:

    Initial volume of gas = 45 mL

    Initial temperature = 135°C (135+273 = 408 K)

    Final temperature = 15°C (15+273 = 288 K)

    Final volume of gas = ?

    Solution:

    The given problem will be solve through the Charles Law.

    According to this law, The volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure.

    Mathematical expression:

    V₁/T₁ = V₂/T₂

    V₁ = Initial volume

    T₁ = Initial temperature

    V₂ = Final volume

    T₂ = Final temperature

    Now we will put the values in formula.

    V₁/T₁ = V₂/T₂

    V₂ = V₁T₂/T₁

    V₂ = 45 mL * 288 K / 408 k

    V₂ = 12960 mL. K / 408 K

    V₂ = 31.8 mL
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