Question

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

Answer 1

0.5

Explanation:

Data provided:

Smaller Volume, V = 0.500 m³

Distinguishable particles, N = 1

Now,

the relation between the Probability of the particles, the volume and the number of distinguishable particles is given as:

`P=V^N`

where,

P is the probability

On substituting the respective values, we get

P = (0.500)¹

or

P = 0.5