An ideal gas is held in a rigid container at temperature of 201∘C. Upon cooling the gas, the pressure decreases by a factor of 2.0, while th

Question

An ideal gas is held in a rigid container at temperature of 201∘C. Upon cooling the gas, the pressure decreases by a factor of 2.0, while the volume and the amount of gas remain constant. What must be the final temperature of the gas?

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Thiên Thanh 5 years 2021-09-05T04:41:39+00:00 1 Answers 98 views 0

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  1. kimcuc
    0
    2021-09-05T04:43:33+00:00
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    Answer:

    237 K

    Explanation:

    Given that,

    Initial temperature, T₁ = 201⁰C = 474 K

    Let P be the initial pressure. Upon cooling the gas, the pressure decreases by a factor of 2.0, while the volume and the amount of gas remain constant.

    Final pressure = P/2

    The relation between the pressure and temperature is as follows :

    \dfrac{P_1}{P_2}=\dfrac{T_1}{T_2}

    Put all the known values,

    \dfrac{P}{\dfrac{P}{2}}=\dfrac{474}{T_2}\\\\2=\dfrac{474}{T_2}\\\\T_2=\dfrac{474}{2}\\\\T_2=237\ K

    So, the final temperature of the gas is equal to 237 K.

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