Suppose there is a sample of xenon in a rectangular container. The gas exerts a total force of 4.47 N perpendicular to one of the container

Question

Suppose there is a sample of xenon in a rectangular container. The gas exerts a total force of 4.47 N perpendicular to one of the container walls, whose dimensions are 0.125 m by 0.209 m . Calculate the pressure of the sample.

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Thu Thủy 4 years 2021-07-20T19:47:40+00:00 1 Answers 17 views 0

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    2021-07-20T19:49:25+00:00

    Answer:

    The pressure is P=170.61 Nm^{-2}.

    Explanation:

    Calculate the area of the rectangular container.

    A=LB

    Here, L is the length and B is the breadth.

    Put L=0.125 m  and B=  0.209 m.

    A=(0.125)(0.209)

    A = 0.0262 m^{2}

    The expression for the pressure in terms of area and force is as follows;

    P=\frac{F}{A}

    Here, P is the pressure and F is the force.

    Put  A = 0.0262 m^{2} and F= 4.47 N.

    P=\frac{4.47}{0.0262}

    P=170.61 Nm^{-2}

    Therefore, the pressure of the given sample is P=170.61 Nm^{-2}.

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