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15 January, 14:50

A monatomic ideal gas that is initially at 1.50 * 105 Pa and has a volume of 0.0800 m3 is compressed adiabatically to a volume of 0.0400 m3. (a) What is the final pressure

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  1. 15 January, 15:52
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    300000Pa or 3*10^5 Pa

    Explanation:

    Since the problem involves only two parameters of volume and pressure, the formula for Boyle's law is suitably used.

    Using Boyle's law

    P1V1 = P2V2

    P1 is the initial pressure = 1.5*10^5Pa

    V1 is the initial volume = 0.08m3

    P2 is the final pressure (required)

    V2 is the final volume = 0.04 m3

    From the formula, P2 = P1V1/V2

    P2 = 1.5*10^5 * 0.08 : 0.04

    = 300000Pa or 3*10^5 Pa.
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