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21 January, 20:01

A gas sample enclosed in a rigid metal container at room temperature (20.0∘C∘C) has an absolute pressure p1p1p_1. The container is immersed in hot water until it warms to 40.0∘C∘C. What is the new absolute pressure p2p2p_2? Express your answer in terms of p1p1p_1.

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  1. 21 January, 21:40
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    Answer: p2 = 1.06p1

    Explanation: pressure increases with temperature increase.

    According to Gass law

    P1/T1 = P2/T2

    T1 = 20°c = 20 + 273 = 293k

    T2 = 40°c = 40 + 373 = 313k

    Therefore

    P2 = P1T2/T1 = 313P2/293

    P2 = 1.06P1
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