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

Answer:

The value of $\dfrac{dU}{dM}$ is $6\times10^{-29}\ J/unit$.

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 $\dfrac{dU}{dM}$

We know that,

$\dfrac{dU}{dM}=\dfrac{energy\ difference}{Change\ in\ number\ of\ system}$

$\dfrac{dU}{dM}=\dfrac{6\times10^{-21}}{10^{8}}$

$\dfrac{dU}{dM}=6\times10^{-29}\ J/unit$

Hence, The value of $\dfrac{dU}{dM}$ is $6\times10^{-29}\ J/unit$.