Chapter 3: The Importance of State Functions: Internal Energy and Enthalpy
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual. Questions on Concepts Q3.1) Why is CP,m a function of temperature for ethane, bu
Chapter 12: Probability
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual. Questions on Concepts Q12.1) What is the difference between a configuration and a permutation?
A configuration is an unordered arra
Chapter 13: The Boltzmann Distribution Problem numbers in italics indicate that the solution is included in the Students Solutions Manual.
Questions on Concepts Q13.1) What is the difference between a configuration and a microstate?
A configuration is a g
Chapter 4: Thermochemistry
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual Questions on Concepts Q4.1) Under what conditions are H and U for a reaction involving gases and/or
liquids or solids identical?
Chapter 2: Heat, Work, Internal Energy, Enthalpy, and the First Law of Thermodynamics
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual. Questions on Concepts Q2.1) Electrical current is passed through a re
Chapter 11: Electrochemical Cells, Batteries, and Fuel Cells
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual. Questions on Concepts Q11.1) What is the difference in the chemical potential and the electroc
Chapter 10: Electrolyte Solutions
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual. Questions on Concepts Q10.1) Tabulated values of standard entropies of some aqueous ionic species are
negative. Why is th
Chapter 14: Ensemble and Molecular Partition Functions
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual. Questions on Concepts Q14.1) What is the canonical ensemble? What properties are held constant in th
Physics 107
Problem 1.1
If the speed of light were smaller than it is, would relativistic phenomena be more or less conspicuous than they are now? All of the phenomena of special relativity depend upon the factor G(v): v c
2
G( v ) 1 -
The square box at t
Chapter 1: Fundamental Concepts of Thermodynamics
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual. Questions on Concepts Q1.1) The location of the boundary between the system and the surroundings is a cho
Chapter 5: Entropy and the Second and Third Laws of Thermodynamics
Problem numbers in italics indicate that the solution is included in the Students Solutions Manual. Questions on Concepts Q5.1) Which of the following processes is spontaneous set? a) The
Chapter 6: Chemical Equilibrium
P6.1)
C6H6(l) + 15/2 O2(g) 6CO2(g) + 3H2O(l)
max o wnonexpansion = GR = 3G o ( H 2O, l ) + 6G o ( CO 2 , g ) f f max wnonexpansion = 3 237.1 kJ mol1
(
)
15 G o ( O 2 , g ) G o ( C6 H 6 , l ) f f 2 15 + 6 394.4 kJ mol 1 ( 0)
Chapter 7: The Properties of Real Gases
P7.1)
Vm = 0.165 L 39.95 g = 0.1883 L mol 1 35.0 g mol RT 8.314 10 2 L bar K 1mol 1 390 K = = 172 bar Vm 0.1883 L mol 1
Pideal gas = PvdW =
RT a 8.314 10 2 L bar K 1mol 1 390 K 1.355L2 bar mol 2 2= 2 Vm b Vm 0.1883
Chapter 8: The Relative Stability of Solids, Liquids, and Gases
P8.1)
a) By what amount does the chemical potential of water exceed that of ice at 5.00C? = Gm = S m T at constant P
o o = Gm = S H 2O ,l S H 2O ,s ( T ) = 70.0 J K 1mol 1 48.0 J K 1mol 1 5.0
Chapter 9: Ideal and Real Solutions Problem numbers in italics indicate that the solution is included in the Students Solutions Manual.
Questions Q9.1) Using the differential form of G, dG = VdP SdT, show that if
Gmixing = nRT xi ln xi , then H mixing = V
Physics 107 c f 3 .10 c
8
Problem 2.5 h E 6.63 .10 h .f
34
O. A. Pringle 700 .10
9
E = 2.841 .10 e 1.6 .10 E e
19
19
Joules
Note I had to set the zero tolerance here.
eV <-> joules conversion factor
E eV
E eV = 1.776 eV = Physics 107 E f h .f E h E eV e
Useful constants, etc.: h := 6.63 10
34
melectron := 9.11 10
31
c := 3 10
8
= Physics 107 Problem 3.1
Compare the linear momenta, total energy, and kinetic energy of a photon and a particle that have the same wavelength. Because := h p regardless of whe
Useful constants, etc.: h := 6.63 10 e := 1.6 10
34
melectron := 9.11 10 eV := 1.6 10
19
31
c := 3 10 0 := 8.85 10
8
19
12
= Physics 107 Problem 4.3
Determine the distance of closest approach of 1 MeV protons incident on gold nuclei. We can use equat
Problem 6.3 This is not a difficult problem but it is a real pain to transfer it from paper into Mathcad. I won't give it to you on the quiz, but know how to do it for the exam. _ Problem 6.10 See Figure 6.4. The magnitude of L is L ( l ) .( l and the z-c
Physics 107
Problem 5.1
Which of the wave functions in Fig. 5.15 cannot have physical significance in the interval shown? Why not? Recall that
(
) 2 dV
must be finite, and that must be single-valued and continuous with finite, single-valued, and continuo
Problem 7.3 For convenience, set hbar := 1
The spin angular momentum has a magnitude S := 3 2 hbar
The z-component of the spin angular momentum has a magnitude Sz := hbar 2 or Sz := hbar 2 note this second definition of S.z is "turned off in Mathcad"
Now
Physics 107
Problem 8.1
O. A. Pringle
The energy needed to detach an electron from a hydrogen atom is 13.6 eV, but the energy needed to detach an electron from a hydrogen molecule is 15.7 eV. Why do you think the latter energy is greater. In H2, each elec
Problem 9.1 This is a variation on the example on pages 300-301.
n 2 n 1 g 2 .exp g 1
2 1 k .T
We are given that n(.2)/n(.1)=1/1000 and we want to solve for T. Also, we know that g(.1)=2 and g(.2)=8. We want to solve
1 1000 8. 2 exp 2 1 k .T
for T.
I'll s