At 47c a gas has a pressure of 140kpa. The gas is cooled until the pressure decreases to 105kpa. If the volume remains constant, what will t

Question

At 47c a gas has a pressure of 140kpa. The gas is cooled until the pressure decreases to 105kpa. If the volume remains constant, what will the final temperature be in kelvin’s? In degrees Celsius

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Thạch Thảo 5 months 2021-08-29T01:02:47+00:00 1 Answers 20 views 0

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  1. diemthu
    0
    2021-08-29T01:04:00+00:00
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    Answer:

    The final temperature is equal to 240 K or -33.15°C

    Explanation:

    Given that,

    Initial temperature of the gas, T₁ = 47°C = 320 K

    Initial pressure, P₁ = 140 kpa

    Final pressure, P₂ = 105 kpa

    We need to find the final temperature if the volume remains constant.  The relation between temperature and pressure is given by :

    P\propto T

    or

    \dfrac{P_1}{P_2}=\dfrac{T_1}{T_2}\\\\T_2=\dfrac{P_2T_1}{P_1}\\\\T_2=\dfrac{105\times 320}{140}\\\\T_2=240\ K\\\\T_2=-33.15^{\circ} C

    So, the final temperature is equal to 240 K or -33.15°C.

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