Quiz 1 in PHYS-4420 Thermodynamics & Statistical Mechanics, Spring 2000, Quizzes of Physics

Download Quiz 1 in PHYS-4420 Thermodynamics & Statistical Mechanics, Spring 2000 and more Quizzes Physics in PDF only on Docsity! PHYS-4420 THERMODYNAMICS & STATISTICAL MECHANICS SPRING 2000 Quiz 1 Tuesday, February 10, 2000 NAME: ____________________________________________ To receive credit for a problem, you must show your work, or explain how you arrived at your answer. 1. (15%) Experts on college examinations often state that 10% of a class should get grades of “A”. That is the practically the same as saying that the probability of one student getting a grade of “A” is one in ten, or 1/10, or 0.1. Assume that probability is correct, and that grades on examinations are completely random (like throwing dice). Then, in a class of 14 students (such as this one) what is the probability that 7 students will get grades of “A” on an examination? (Don’t worry, your instructor does not believe that grades are random.) Probability = _____________ 2. (10%) Determine if the following expression is an exact differential.   dyxedxyex xx 2221  1 3. (30%) One mole of an ideal gas expands isothermally from point i to point f on the graph shown. At point i the volume of the gas is V0, and the pressure is p0. At point f the volume is 2V0. (For one mole of an ideal gas, pV = RT.) Express all your answers in terms of p0, V0, and R. a) (10%) How much work is done by the gas as it expands isothermally from V0 to 2V0? W = ________________ b) (10%) What is the change in internal energy as the gas expands isothermally from V0 to 2V0? E = ________________ c) (10%) How much heat is added to the gas as it expands isothermally from V0 to 2V0? Q = ________________ 2