Answer: Inverse Hyperbolic Functions and IntegralsWhen

An Introduction to Thermal Physics 1
Problem 35P According to the Sackur-Tetrode equation, the entropy of a monatomic ideal gas can become negative when its temperature (and hence its energy) is sufficiently low. Of course this is absurd, so the Sackur-Tetrode equation must be invalid at very low temperatures. Suppose you start with a s

Physics with MasteringPhysics 4
Can you drive your car in such a way that the distance it covers is (a) greater than, (b) equal to, or (c) less than the magnitude of its displacement? In each case, give an example if your answer is yes, explain why not if your answer is no.

Sears and Zemansky's University Physics with Modern Physics 13
Problem 24E A parallel-plate air capacitor has a capacitance of 920 pF. The charge 011 each plate is 2.55 C. (a) What is the potential difference between the plates? (b) If the charge is kept constant, what will be the potential difference between the plates if the separation is doubled? (c) How much

Chemistry: The Central Science 13
Problem 103AE A mixture of N2(g) and H2(g) reacts in a closed container to form ammonia, NH3(g). The reaction ceases before either reactant has been totally consumed. At this stage 3.0 mol N2, 3.0 mol H2, and 3.0 mol NH3 are present. How many moles of N2 and H2 were present originally?

Physics for Scientists and Engineers with Modern Physics 9
Two square wells have the same length. Well 1 has walls of finite height, and well 2 has walls of infinite height. Both wells contain identical quantum particles, one in each well. (i) Is the wavelength of the ground-state wave function (a) greater for well 1, (b) greater for well 2, or (c) equal for

Inquiry into Physics 7
Two rectangular rugs are on display in a showroom. If one rug is twice as long as the other, does this necessarily mean that its area is also twice as large as that of the second? Explain.

Krugman's Economics for AP® (High School) 2
Suppose a rise in productivity increases potential output and creates a recessionary gap. Explain how the economy can self-correct in the long run.

Human Biology 11
Define the difference between (a) gene and allele, (b) dominant allele and recessive allele, (c) homozygote and heterozygote, and (d) genotype and phenotype.