Quiz 1 in PHYS-4420 Thermodynamics & Statistical Mechanics, Spring 2004, Quizzes of Physics

Download Quiz 1 in PHYS-4420 Thermodynamics & Statistical Mechanics, Spring 2004 and more Quizzes Physics in PDF only on Docsity! 1 PHYS-4420 THERMODYNAMICS & STATISTICAL MECHANICS SPRING 2004 Quiz 1 Friday, February 20, 2004 NAME: ____________________________________________ To receive credit for a problem, you must show your work, or explain how you arrived at your answer. 1. (25%) In the poker game seven card stud, seven cards are dealt to each player. The player selects five of those cards to make the best possible hand. a) (10%) How many different five card hands can be made from the seven cards dealt to a player? N5 = _______________ b) (10%) How many different seven card hands can be made from a deck of 52 cards? N7 = _______________ c) (5%) Based on your answer to part b), what is the probability that a player would be dealt the exact same seven cards twice in a row? Think carefully about this one. Prob = ________________ 2 2. (10%) Consider the expression, dyyyedxyae axax )sin(2)cos( 22  . Is it an exact differential? Circle the correct answer, and show why you made your selection. It IS an exact differential It IS NOT an exact differential 3. (35%) Electromagnetic radiation in an evacuated vessel of volume V, at thermal equilibrium with the walls at temperature T, behaves like a gas of photons. The internal energy and the pressure of the gas are given by the relations: 4TaVE  , and 43 1 aTp  , where a is Stephan’s constant. Initially the system is at pressure p0, volume V0 , and temperature T0. Express all your answers in terms of p0, V0, T0, and a. a) (10%) How much heat is added to the system if it expands isothermally from V0 to 2V0? Q = ________________ b) (5%) What is the change in entropy as the gas expands isothermally from V0 to 2V0? S = ________________