Compare your results to those given below: ln(N!) = NhnN-N (1) N In(N!) Calculated | In(N!)(1) 20 42.3 39.9 50 148.5 145.6 100 363.7 360.5 Check all that apply. The value calculated using Stirling's approximation provides a slight overestimation of the actual value. The value calculated using Stirling's approximation equals the actual value. The value calculated using approximation (1) provides a slight overestimation of the actual value. The value calculated using approximation (1) provides a slight underestimation of the actual value. The value calculated using Stirling's approximation provides a slight underestimation of the actual value. The value calculated using approximation (1) equals the actual value. Submit Request Answer

The image shows the example of finding the number of vacancies in 1 cubic meter of copper (Cu) at 1000 degrees celcius (1273 k) considering the image data. Replicating the problem in the image, calculate the number of vacancies but at room temperature.Explain why there is such a difference in the number of vacancies at both temperatures.

Please solve the problem in the picture, thanks in advance :)

Consider a system with 1000 particles that can only have two energies, ɛ, and with ɛ, > E,. The difference between these two values is Aɛ = ɛ, -& . Assume that gi = g2 = 1. Using the %3D %3D equation for the Boltzmann distribution graph the number of particles, ni and m, in states & n2, E and E, as a function of temperature for a Aɛ = 1×10-2' J and for a temperature range from 2 to 300 K. (Note: kg = 1.380x10-23 J K-!. %3D %3D (s,-s,) gLe Aɛ/ n2 or = e n,