Solved: The sum of the mole fractions for an ideal-gas

An Introduction to Thermal Physics 1
Problem 16P Suppose you flip 1000 coins. a) What is the probability of getting exactly 500 heads and 500 tails? (Hint: First write down a formula for the total number of possible outcomes. Then, to determine the multiplicity of the 500-500 macrostate, use Stirlings approximation. If you have a fancy

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

Classical Mechanics 0
Consider a particle of mass in and charge q moving in a uniform constant magnetic field B in the z direction. (a) Prove that B can be written as B= V x A with A = 413 x r. Prove equivalently that in cylindrical polar coordinates, A = 1Bp b. (b) Write the Lagrangian (7.103) in cylindrical polar coordi

Mathematical Statistics and Data Analysis 3
This problem introduces a random effects model for the one-way layout. Consider a balanced one-way layout in which the I groups being compared are regarded as being a sample from some larger population. The random effects model is \(Y_{i j}=\mu+A_

College Physics: A Strategic Approach 3
a. Write a paragraph describing the particle model. What is it, and why is it important? b. Give two examples of situations, different from those described in the text, for which the particle modeljs appropriate. c. Give an example of a situation, different from those described in the text, for which

Chemistry: A Molecular Approach 3
Write balanced complete ionic and net ionic equations for each reaction. a. K2SO4(aq) + CaI2(aq) S CaSO4(s) + KI(aq) b. NH4Cl(aq) + NaOH(aq) S H2O(l) + NH3(g) + NaCl(aq) c. AgNO3(aq) + NaCl(aq) S AgCl(s) + NaNO3(aq) d. HC2H3O2(aq) + K2CO3(aq) S H2O(l) + CO2(g) + KC2H3O2(aq)

Organic Chemistry 8
Write open-chain structures for the following: (a) A ketotetrose (b) A ketopentose (c) A deoxyaldohexose (d) A five-carbon amino sugar

Essentials Of Investments 9th
You buy an eight-year bond that has a 6% current yield and a 6% coupon (paid annually). In one year, promised yields to maturity have risen to 7%. What is your holding-period return?