×
Log in to StudySoup
Get Full Access to Atkins' Physical Chemistry - 11 Edition - Chapter 14b - Problem P14b.10
Join StudySoup for FREE
Get Full Access to Atkins' Physical Chemistry - 11 Edition - Chapter 14b - Problem P14b.10

Already have an account? Login here
×
Reset your password

Atkins' Physical Chemistry | 11th Edition | ISBN: 9780198769866 | Authors: Atkins, Peter; De Paula, Julio; Keeler, James ISBN: 9780198769866 2042

Solution for problem P14B.10 Chapter 14B

Atkins' Physical Chemistry | 11th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Atkins' Physical Chemistry | 11th Edition | ISBN: 9780198769866 | Authors: Atkins, Peter; De Paula, Julio; Keeler, James

Atkins' Physical Chemistry | 11th Edition

4 5 1 325 Reviews
29
2
Problem P14B.10

The cohesive energy density, V, is defined as U/V, where U is the mean potential energy of attraction within the sample and V its volume. Show that \(\mathcal{U}=\frac{1}{2} \mathcal{N}^{2} \int V(R) \mathrm{d} \tau\) where N is the number density of the molecules and V(R) is their attractive potential energy and where the integration ranges from d to infinity and over all angles. Go on to show that the cohesive energy density of a uniform distribution of molecules that interact by a van der Waals attraction of the form \(-C_{6} / R^{6}\) is equal to \(-(2 \pi / 3)\left(N_{\mathrm{A}}^{2} / d^{3} M^{2}\right) \rho^{2} C_{6}\), where \(\rho\) is the mass density of the solid sample and M is the molar mass of the molecules.

Text Transcription:

U=1/2 N^2 int V(R) d tau

-C_6/R^6

-(2 pi/3)(N_A^2/d^3 M^2) rho^2 C_6

rho

Step-by-Step Solution:
Step 1 of 3

17.2 • The Reaction Quotient and the Equilibrium Constant We have introduced the equilibrium constant in terms of a ratio of rate constants, but the original research on chemical equilibrium was developed many years before the principles of kinetics. In 1864, two Norwegian chemists, Cato Guldberg and Peter Waage, observed that at a given temperature, a chemical system reaches a state in which a particular ratio of product to reactant concentrations has a constant value. This is a statement of the law of chemical equilibrium, or the law of mass action. Changing Value of the Reaction Quotient The particular ratio of concentration terms that we write for a given reaction is called the reaction quotient (Q, also known as the mass-action expression). For the reversible breakdown of N O to NO , the reaction quotient, which is based directly on the 2 4 2 balanced equation, is As the reaction proceeds toward equilibrium, the concentrations of reactants and products change continually, and so does their ratio, the value of Q: at a given temperature, at the beginning of the reaction, the concentrations have initial values, and Q has an initial value; a moment later, the concentrations have slightly different values, and so does Q; after another moment, the concentrations and the value of Q change further. These changes continue, until the system reaches equilibrium. At that point, reactant and product concentrations have their equilibrium values and no longer change. Thus, the value of Q no longer changes and equals K at that temperature:

Step 2 of 3

Chapter 14B, Problem P14B.10 is Solved
Step 3 of 3

Textbook: Atkins' Physical Chemistry
Edition: 11
Author: Atkins, Peter; De Paula, Julio; Keeler, James
ISBN: 9780198769866

Other solutions

Discover and learn what students are asking

Calculus: Early Transcendental Functions : Integration Techniques, LHpitals Rule, and Improper Integrals
?In Exercises 49-56, find the indefinite integral using any method. \(\int \theta \sin \theta \cos \theta d \theta\)




Chemistry: The Central Science : Liquids and Intermolecular Forces
?The phase diagram for neon is Use the phase diagram to answer the following





Statistics: Informed Decisions Using Data : Testing the Significance of the Least-Squares Regression Model
?Credit Scores An economist wants to determine the relation between one’s FICO score, x, and the interest rate of a 36-month auto loan, y. The data rep

Statistics: Informed Decisions Using Data : Inference about Measures of Central Tendency
?In the large-sample case, we compare to -za, regardless of whether we are conducting a left-tailed or right-tailed test. Provide a just


People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to: