What Defines a Function of State in Thermodynamics?

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Homework Statement


What is a function of state? What kind of characteristics does it have? What kind of restrictions do the equations ΔU=Qv and ΔH=Qp have? Why can they be used to an adiabatic process?


Homework Equations





The Attempt at a Solution

 
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Have you bothered to read either your textbook or the rules for the use of this forum? You are required to show SOME effort of your own before we will help you. In this case it looks to me like you are asked to quote a definition in your textbook or class notes.
 

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Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
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The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
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