If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperature be to maintain constant press

By Eva

If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperature be to maintain constant pressure?​

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  1. Given:

    • Volume of Neon ,V₁ = 15 l
    • Temperature ,T₁ = 25°C = 25×274.15° = 298.15
    • Volume ,V₂ = 45 l

    To Find:

    New temperature to maintain constant pressure ,T₂

    Solution:

    ⠀⠀⠀⠀⠀According to the Given Condition

    It is given that the volume of neon (initial) 15 litres at 25°C is allowed to expand to 45 liters . We have to calculate the new temperature to be maintain constant pressure .

    Using Charles Law

    [tex]:\implies[/tex] V₁/T₁ = V₂/T₂

    Substitute the value we get

    [tex]:\implies[/tex] 15/298.15= 45/T₂

    [tex]:\implies[/tex] 15/298.15 = 45/T₂

    [tex]:\implies[/tex] T₂ = 45×298.15/15

    [tex]:\implies[/tex] T₂ = 3×298.15

    [tex]:\implies[/tex] T₂ = 894.45 K

    Hence, the required temperature to maintain the constant pressure is 894.45 Kelvin.

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