In this problem, your answers should be mathematical expressions involving a variable.?

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In this problem, your answers should be mathematical expressions involving a variable.

  1. Consider an ideal gas with an absolute temperature of T1. To what temperature would you need to heat the gas to double its pressure? Express your answer in terms of T1.

  2. Consider an ideal gas with a volume of V1. To what volume would you need to compress the gas to double its pressure? Express your answer in terms of V1.

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1 Answer

  • In the first problem it would appear that the volume is held constant.

    P1/T1 = P2T2

    T2 = P2T1 / P1

    T2 = (2P1)T1 / P1 ……. P1 cancels out

    T2 = 2T1 ………………… double the temp to double the pressure


    In the second problem it appears that T is held constant.

    P1V1 = P2V2

    V2 = P1V1 / P2

    V2 = P1V1 / (2P1) ……….. P1 cancels out

    V2 = V1 / 2 …………………. cut the volume in half to double the pressure


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