Equation 20.3 is the mean free path of a particle through a gas of identical particles of equal radius. An electron can be thought of as a point particle with zero radius.
a. Find an expression for the mean free path of an electron through a gas.
b. Electrons travel 3 km through the Stanford Linear Accelerator. In order for scattering losses to be negligible, the pressure inside the accelerator tube must be reduced to the point where the mean free path is at least 50 km. What is the maximum possible pressure inside the accelerator tube, assuming T = 20°C? Give your answer in both Pa and atm.
Want to see the full answer?
Check out a sample textbook solutionChapter 20 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
- iarrow_forwardThere are lots of examples of ideal gases in the universe, and they exist in many different conditions. In this problem we will examine what the temperature of these various phenomena are. a. Give an expression for the temperature of an ideal gas in terms of pressure P, particle density per unit volume ρ, and fundamental constants. b. Near the surface of Venus, its atmosphere has a pressure fv= 95 times the pressure of Earth's atmosphere, and a particle density of around ρv = 1.1 × 1027 m-3. What is the temperature of Venus' atmosphere (in C) near the surface? c. The Orion nebula is one of the brightest diffuse nebulae in the sky (look for it in the winter, just below the three bright stars in Orion's belt). It is a very complicated mess of gas, dust, young star systems, and brown dwarfs, but let's estimate its temperature if we assume it is a uniform ideal gas. Assume it is a sphere of radius r = 4.7 × 1015 m (around 6 light years) with a total mass 4000 times the mass of the…arrow_forwardThe rms speed of a sample of gas is increased by 5%. A. What is the percent change in the temperature of the gas? B. What is the percent change in the pressure of the gas, assuming its volume is held constant?arrow_forward
- Part A A gas consists of a mixture of neon and argon. The rms speed of the neon atoms is 450 m/s. What is the rms speed of the argon atoms? Express your answer with the appropriate units. µA Value Units Submit Request Answer Provide Feedbackarrow_forwardMuch of the gas near the Sun is hydrogen nuclei. Its temperature would have to be 1.5 × 107 K for the rms speed to equal the escape speed from the Sun. a. What is that velocity, in meters per second?arrow_forwardEx. 51 The temperature of interstellar space has an average value of about 5 K. Find the rms speed of a proton in the Imp space. [m, = 1.673 x 10 27 kg, kg = 1.38 x 10 23 J/K] %3D %3Darrow_forward
- Two gases have the same number of molecules per cubic meter (N/V) and the same rms speed. The molecules of gas 2 are more massive than the molecules of gas 1.a. Do the two gases have the same pressure? If not, which is larger?b. Do the two gases have the same temperature? If not, which is larger?arrow_forwardA. If you double the typical speed of molecules in a gas, by what factor will the pressure change? B. Give a reasonable and complete explanation for your answer based on the kinetic model of the moleculesarrow_forwardThe rms speed of the molecules in 1.2 g of hydrogen gas is 1800 m/s. Part A What is the total translational kinetic energy of the gas molecules? Express your answer with the appropriate units. Etotal = 1.9 kJ Submit ✓ Correct Part B Previous Answers What is the thermal energy of the gas? Express your answer with the appropriate units. Eth = 1944 Submit μA Previous Answers Request Answerarrow_forward
- d)What is the root mean square of the speed? e)What is the speed with the highest velocity?Statistical mechanics-physicsarrow_forward2. Consider a monatomic gas in a 2-dimensional box with a rectangular area A. The velocity distribution for this gas is given by (you do not need to prove this): {-m (C +C)/ 2kT} f (C,,C,)=A e Find: A, the speed distribution, and the mean speed, C.arrow_forwardFor the exam scores given in Table P20.60, find the average score and the rms score. Table P20.60arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning