Suppose that there are N=108 two-state systems, each with energy difference E=6 Ɨ 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?

Respuesta :

Answer:

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

Explanation:

Given that,

Number [tex]N=10^{8}[/tex]

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

Temperature T =300 K

We need to calculate the value of [tex]\dfrac{dU}{dM}[/tex]

We know that,

[tex]\dfrac{dU}{dM}=\dfrac{energy\ difference}{Change\ in\ number\ of\ system}[/tex]

[tex]\dfrac{dU}{dM}=\dfrac{6\times10^{-21}}{10^{8}}[/tex]

[tex]\dfrac{dU}{dM}=6\times10^{-29}\ J/unit[/tex]

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

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