For diatomic ideal gases at room temperature, find out the change in entropy due to mixing using the following partition functions hv expl2kt t v( h2 ztranslation rotation vibration h2 hv 1 exp 4. for solids, einstein the vibrational levels given energy are as hv, j-0,1, assuming that the n 2 strongly coupled atoms are +=3 equivalent to 3n simple harmonic independent oscillators, find out the followings (a) equation for the vibrational energy as a function of temperature (b) specific heat at constant volume.

Intro: a solid ball of radius rb has a uniform charge density ρ. part a: what is the magnitude of the electric field e(r) at a distance r> rb from the center of the ball? express your answer in terms of ρ, rb, r, and ϵ0. part b: what is the magnitude of the electric field e(r) at a distance r express your answer in terms of ρ, rb, r, and ϵ0. part c: let e(r) represent the electric field due to the charged ball throughout all of space. which of the following statements about the electric field are true? check all that apply. e(0) = 0 e(rb)=0 limr→∞e(r)=0 the maximum electric field occurs when r=0 the maximum electric field occurs when r=rb the maximum electric field occurs as r→∞.