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25 January, 01:03

In a period of 1.00 s, 5.00 x1023 nitrogen molecules strike a wall with an areaof8.00 cm2. If the molecules move with a speed of300 m/s and strike the wall head on in elastic collisions, what isthe pressure exerted on the wall? (The mass of oneN2 molecule is 4.68 x 10-26 kg.)

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  1. 25 January, 01:22
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    Pressure exerted on the wall is 8775 kgm/s²

    Explanation:

    Parameters given:

    Time = 1s

    Number of molecules: 5*10²³

    Area: 8cm² = 8*0.0001 = 0.0008m²

    Speed of molecules: 300m/s

    Mass of N₂ molecule: 4.68 x 10⁻²⁶ kg

    Pressure = Force/Area

    Total pressure of N molecules will be:

    Pressure = Force*Number of molecules/Area

    Force is given as:

    Force = mass*acceleration

    And acceleration is:

    Acceleration = velocity/time

    Therefore,

    Force = (mass*velocity) / time

    Pressure = (mass*N*velocity) / (Area*time)

    Pressure = (4.68 x 10⁻²⁶*5*10²³*300) / (0.0008*1)

    Pressure = 7.02/0.0008

    Pressure = 8775 kgm/s²
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