Phys105_ps10_2009

Phys105_ps10_2009 - 3 . Problem 3. A vertical cylinder 2.5...

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Physics 105, Problem Set 10 Due: Thursday, December 10, 2009, 3 PM. Reading: Sections 1-14 of Fermi, Chapters 16-19 of Knight (Vol. 2). The Knight chapters are posted on e-reserves. We will cover Special Relativity beginning Dec. 9. Special relativity Knight’s Chapter 36 contains additional explanations. Problem 1. Fermi, page 10, problems 1, 2, 4, and: At STP (273 K and 1 atm) what is the linear size (in nm) of a cube that contains on average one molecule of a gas? For liquid water (H 2 O at density 1 g/cm 3 ) what is the linear size of this cube? (The latter is a rough estimate of the size of a molecule, since they are closely-packed in water.) Data: 1 liter = 10 - 3 m 3 ; 1 atm = 10 5 N/m 2 ; 0 C = 273 K; gas constant R = 8.3 J/(mol K); molecular mass (in g/mol) of H 2 is 2, of O 2 is 32; N A =6 × 10 23 . Problem 2. Fermi, page 28, problems 2, 3 and 4. 1 calorie = 4.2 Joules (this is not a food calorie); cc means cm
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Unformatted text preview: 3 . Problem 3. A vertical cylinder 2.5 m tall is lled with 0.08 mol of a monatomic ideal gas at STP. (a) What is the radius of this cylinder? Next, a piston of mass 1.5 kg is added to the upper end of the cylinder, compressing the gas somewhat, due to Earths gravity. It seals the cylinder but is free to move vertically. (b) What is the equilibrium height of the piston, assuming that the gas remains isothermal? (c) The piston is now displaced slightly and released. What is the frequency of the resulting adiabatic oscillation, assuming it is undamped? Problem 4. Knight 17.83: 0.020 mol of a diatomic gas, with initial temperature 300 K, are compressed from 1.5 liters to 0.5 liters in a process where pV 2 remains constant. (a) What is the nal temperature? (b) How much heat is added during this process? (c) Draw the pV diagram of this process, including proper scales on both axes. 1...
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This note was uploaded on 11/05/2011 for the course PHY 105 at Princeton.

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