198 AppendixE
4 Aparticular chemicalreactiondoublesits ratefor a 10 K temperature rise near
room temperature (say from 290 to 300 K). Estimate the activation energy for the
reaction.
Chapter 1 4
1 Describehow Fig. 14.1a and14.1bare related. Howdoes theelectron velocity
vary over the same range?
2 Verify, as statedinthe textbetween (14.2) and(14.3), that thedensityofstates
g(μ)isgiven by(8.3) but with the mass changed.
Chapter 15
1 Sketch the expected entropy behaviour that you would expect across a first-order,
asecond-order andathird-order phase transition (see section 11.1). How would
you classifythe following?
(a) A superconducting transition in zero applied magnetic field (see Fig. 1 5 .1).
(b) A superconductor where the transition temperaturehasbeen suppressedbythe
application of a modest magnetic field (see Fig.1 5 .1 again, andguess what
will happen!).
(c) Thesuperfluidtransitionin^4 He (see sections 14.3 and9.2, anddo not expect
a tidy answer).
2 Verify the calculations made following (15.1).
3 Work through the steps leadingto (15.3), the pressure of a relativistic FDgas.
4 Verify the numerical values given for the constantsK(equation (1 5. 5 )), andK 1
(equation (15.6)), and hence check the upper mass limits for white dwarf and
neutron stars.
5 Explore the question, discussed before (1 5 .7), as to whether the relativistic speed
correctionis everimportantfor the stabilityofa neutron star.