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31 July, 23:18

Calculate the final Celsius temperature when 634 L at 21 °C is compressed to 307 L.

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  1. 1 August, 02:47
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    - 130.64°C.

    Explanation:

    We can use the general law of ideal gas: PV = nRT.

    where, P is the pressure of the gas in atm.

    V is the volume of the gas in L.

    n is the no. of moles of the gas in mol.

    R is the general gas constant,

    T is the temperature of the gas in K.

    If n and P are constant, and have two different values of V and T:

    V₁T₂ = V₂T₁

    V₁ = 634.0 L, T₁ = 21.0°C + 273 = 294.0 K.

    V₂ = 307.0 L, T₂ = ? K.

    ∴ T₂ = V₂T₁/V₁ = (307.0 L) (294.0 K) / (634.0 L) = 142.36 K.

    ∴ T₂ (°C) = 142.36 K - 273 = - 130.64°C.
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