Physical Chemistry Third Edition

402 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium This integral is in the form of theerror function, ...

9.3 The Velocity Probability Distribution 403 b.Find a valuev′xsuch that there is a 95% probability that a molecule will have a ...

404 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium first velocity, v^2  ( 500 m s−^1 ) 2 + ( −400 m ...

9.4 The Distribution of Molecular Speeds 405 say about the mean value of sin^2 (x) for 0<x<π radians? 9.11 Find the mean v ...

406 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium isφ, the angle between the positivevxaxis and the ...

9.4 The Distribution of Molecular Speeds 407 Consider a spherical shell of radiusvand thicknessdvas shown in Figure 9.11. This s ...

408 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium The result in Eq. (9.4-3) is a product of three fa ...

9.4 The Distribution of Molecular Speeds 409 Exercise 9.13 Find the most probable speed of helium atoms at 298 K. Themean speedi ...

410 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium Exercise 9.15 Find the mean speed and the root-mea ...

9.5 The Pressure of a Dilute Gas 411 a.Explain why you think this is true. b.How do you think that the speed of sound in air wou ...

412 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium Consider a particle that strikes the wall at the r ...

9.5 The Pressure of a Dilute Gas 413 x z y vy Velocity vector Prism volume Area
v Wall Figure 9.14 The Prism That Contains Mol ...

414 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium Let the total time-average force onAbe denoted by〈 ...

9.5 The Pressure of a Dilute Gas 415 Exercise 9.18 Find the number of oxygen molecules withvy444 m s−^1 that must strike an are ...

416 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium 9.6 Effusion and Wall Collisions Effusion is a pro ...

9.6 Effusion and Wall Collisions 417 Therefore ⎛ ⎝ total number striking area Ain timeτ ⎞ ⎠NAτ ( kBT 2 πm ) 1 / 2  1 4 NAτ ( 8 ...

418 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium PROBLEMS Section 9.6: Effusion and Wall Collisions ...

9.7 The Model System with Potential Energy 419 One-Body Forces A one-body force is independent of the locations of other particl ...

420 9 Gas Kinetic Theory: The Molecular Theory of Dilute Gases at Equilibrium Exercise 9.20 The altitude of Pike’s Peak is 14,11 ...

9.7 The Model System with Potential Energy 421 Solution a. u(σ) 4 ε [( σ σ ) 12 − (σ σ ) 6 ]  4 ε(1−1) 0 b.At an extremum, th ...