A two-state system is in an environment at temperature 500 K. The energy of state 1 is 4.1e-20 J, and the energy of state 2 is 5.7e-20 J. Let be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio

Complete Question

A two-state system is in an environment at temperature 500 K. The energy of state 1 is, and the energy of state 2 is . Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)

Step-by-step explanation:

From the question we are told that:

Temperature T=500 K

Energy of state 1 ,

Energy of state 2 is

Generally the equation for Probability of finding the system in state is mathematically given by

Therefore

For Probability of finding the system in state 1

Where

   K is Boltzmann constant

For Probability of finding the system in state 1

Generally the equation for The Ratio of and is mathematically given by

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .