and the isothermal compressibility, kt = —

v the coefficient of thermal expansion, i ( dv

— I of substances, dp Jt can be measured. Using these parameters and since thermodynamic properties are mathematically well-behaved functions, namely the order of differentiation does not make any difference, i.e., can be measured. Using these parameters and since thermodynamic properties are mathematically well-behaved functions, namely the order of differentiation does not make any difference, i.e.,

fdz y |
f di |
'dZ y" | ||

_ dX |
_ drl |
M J_ |

the elimination of the non-measurable properties becomes simple.

In general, the Maxwell relations are obtained from {dZ=M dX + N dY}

the elimination of the non-measurable properties becomes simple.

In general, the Maxwell relations are obtained from {dZ=M dX + N dY}

V dV, paring this equation to the Gibbs' equation, {dU=T dS - p dV}, it is seen that v

| dU| = T and ( ■dU| =-p . Additionally, using the above property, we can

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Do we really want the one thing that gives us its resources unconditionally to suffer even more than it is suffering now? Nature, is a part of our being from the earliest human days. We respect Nature and it gives us its bounty, but in the recent past greedy money hungry corporations have made us all so destructive, so wasteful.

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