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- Use the ideal gas law to demonstrate the cyclic rule of partial derivatives.Repeat the previous exercise for a gas that follows the Berthelot equation of state see exercise 1.55.Under what conditions would the van der Waals constant b be negative? Do you think there are any gases for which this occurs?
- To derive the Maxwell relation, write the equation giving the total change of energy starting with one of the energies U, H, G, or A. After showing the exact differential for this energy, write all the steps in obtaining the Maxwell equation.How to prove (mathematically) that the volume of van der waals equation is a state function?Explain how the experiments of Boyle, Charles, andAvogadro led to the formulation of the perfect gas equationof state.