Problem Set 2 - Particle Accelerators | PHY 962, Assignments of Physics

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2.1 2.3 2.4 In a certain system the internal energy U is related to the entropy S, particle number N, and the volume V through the relation U=CN (N/V) exp [d S/Nkg], Where C and d are constants. (a) Show that the system satisfies the ideal gas law independently of the value of d (b) Find the coefficient y in the adiabatic equation PV’ = constant, and the molar specific heats Cp and Cy of the system. What is the boiling point of water on Mt. Evans, Colorado, where the atmospheric pressure is two-thirds that at see level (pressure = | atm)? Water data at boiling point under | atm. T = 373K; Latent heat = 539 cal/g; Viiguia = 1 cm? (1g); Veas = 1671 em? (1g). Show that the heat capacity at constant volume Cy of a Van der Waals gas is a function of the temperature alone. Problem 2.2 of Huang (Clapeyron equation for a second order transition)