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We will be using this kind of notation in

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Unformatted text preview: with the quantities that can be measured and from those derives A(V,T), G(V,T) and other thermodynamic functions. A useful relationship from calculus (aka Maxwell’s relationship). consider a function of 2 variables, F(x,y). x and y can be V, T, or P, and F can be G, S, U, H, A etc. We have: dF = F(x+dx, y+dy) – F(x,y) = A(x,y) dx + B(x,y) dy = (∂F/∂x) dx + (∂F/∂y) dy A(x,y) = (∂F/∂x) is the partial derivative of F(x,y) with respect to x, that is when it is calculated, all other variables (y in this case) are kept constant. One can also use the notation A(x,y) = (∂F/∂x)y to emphasize that y is kept constant. We will be using this kind of notation in thermodynamics because we need to specify which variable we are working with. Both A(x,y) and B(x,y) are functions of x and y themselves. Consider the partial derivative (∂A/∂y)x...
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