A cube that has a volume of 1.00 m³ contains N distinguishable particles. 1. Determine the probability that all the particles are in

Question

A cube that has a volume of 1.00 m³ contains N distinguishable particles.
1. Determine the probability that all the particles are in a smaller volume V of the cube if N = 1 and V = 0.500 m³.
2. Determine the probability that all the particles are in a smaller volume V of the cube if N = 1 and V = 0.300m³.
3. Determine the probability that all the particles are in a smaller volume V of the cube if N = 1 and V = 0.0100³.

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Orla Orla 4 years 2021-08-27T21:20:32+00:00 1 Answers 35 views 0

Answers ( )

  1. nguyetanh
    0
    2021-08-27T21:22:00+00:00
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    Answer:

    1 P = 0.5

    2 P = 0.3

    3 P = 0.01

    Explanation:

    The probability formula is

              P =V^N

    Where P is the probability  V is the volume while N is the number of distinguishing particles

    So for N = 1 and V = 0.500m^3

               P = (0.500m^3)^1\\

                   = 0.5

    For  N = 1 and V = 0.300m^3

               P = (0.300m^3)^1

                   = 0.3

    For   N = 1 and V = 0.0100m^3

         P =(0.0100m^3)^1

             = 0.01

             

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