4 Practice Problems on Particle Accelerators - Assignment 1 | PHY 962, Assignments of Physics

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1.1 1.2 1.3 1.4 Show that in a reversible process for a system described by T and P as natural thermodynamic variables TdS = Cp dT — TAVAT p dP Find the equations governing an adiabatic (constant S) transformation of an ideal gas. Problem 1.4 of Huang A substance has the following properties G) Ataconstant temperature 7, the work done by it on expansion from volume V, to Vis W = RT, log (V/V,) Where R is a constant. (ii) The entropy as a function of T and V is given by S=RV/VI/T.Y Where V,, T,, and a are constants (a) Calculate the Helmholtz free energy (b) | Find the equation of state (c) Find the work done at an arbitrary constant temperature T