Modern Physics For Scientists And Engineers
Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 3, Problem 3.38P
To determine

The distance diffused by a Brownian particle in 200s .

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“Diffusion” sounds slow—and over everyday distances it is—but on the scale of a cell it is very fast. The average instantaneous velocity of a particle in solution—that is, the velocity between its very frequent collisions—isv = (kT/m)½where k = 1.38 × 10–16 g cm2/K sec2, T = temperature in K (37°C is 310 K), and m = mass in g/molecule.Calculate the instantaneous velocity of a water molecule (molecular mass = 18 daltons), a glucose molecule (molecular mass = 180 daltons), and a myoglobin molecule (molecular mass = 15,000 daltons) at 37°C. Just for fun, convert these numbers into kilometers/hour. Before you do any calculations, you might try to guess whether the molecules are moving at a slow crawl (<1 km/hr), an easy walk (5 km/hr), or a record-setting sprint (40 km/hr)
A gas jet is composed of n molecules of mass m and velocity v. The jet is elastically reflected by a rigid surface, as shown in the figure. The modulus of the variation of the total jet moment is   A) mnv b) mnv c) mnv sen 30° d) 2mnv sen 30° e) mnv cos 30°
Question 6: Free energy minimization Consider a theoretical system in which the particles interact so that the internal energy depends on volume as U = nRT + n², where A = 1.31e+01 J m³/mole² is a very small repulsive interaction between the particles and S = nRln V. Using minimization of free energy with respect to the volume, find the external pressure if the equilibrium volume is 1.64e-02 m³, the number of particles is 3.04e+00 moles, and the temperature is 2.30e+02 K (a) 3.55e+05 Pa (b) -9.54e+04 Pa (c) 3.62e+05 Pa (d) 3.48e+05 Pa (e) 8.05e+05 Pa ✓ ✓ 100% This question is complete and cannot be answered again.
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