Question

Suppose that there are N=108 two-state systems, each with energy difference E=6 × 10-21 J between the two states. The environment temperature is 300 K. The number of systems in their high energy states is M. Therefore, the free energy is a function of M: F(M).What is dU/dM?

Answer 1

The value of
`(dU)/(dM)` is
`6*10^(-29)\ J/unit`.

Step-by-step explanation:

Given that,

Number
`N=10^(8)`

Energy difference = 6\times10^{-21}\ J[/tex]

Temperature T =300 K

We need to calculate the value of
`(dU)/(dM)`

We know that,

`(dU)/(dM)=(energy\ difference)/(Change\ in\ number\ of\ system)`

`(dU)/(dM)=(6*10^(-21))/(10^(8))`

`(dU)/(dM)=6*10^(-29)\ J/unit`

Hence, The value of
`(dU)/(dM)` is
`6*10^(-29)\ J/unit`.