Question

5. PROBLEM Compare the mean free path of C-12 to the diffusion length.

Answer 1

of 6-12 m-eah m-ean atom average AS on ♡ - Ket (from ideal pas lave Solution't to the have to question me According the free path compane diffusion length to the is. of first free path the all distance travelled by a the rt moving pantiele (such successive between molekules) gas Which collisions collision after its changes direction enenery or other panticle propenties. of C-12 Now, meah free given by lz Vzn6 Hene, n = iis the effective and, 6 for sphenical padius r atom path the is panticle expression > 2 anan te-canj? rd cross-sectional particle with is, free path m-ean so, КЕТ after above putting valves és) es 2 r. do ☺

average the cover On length is Now, diffusion the distance that excess Cannient befoe they necombine. can Here, diffusion length depends of mobility and the lifetime the carriers diffusion length Here, L=VDE factor diffusion lifetine Wher, b TE diffusion factor it is not constant by, given M. KET A mobility cannien when M is, length sol diffusion 11 MKBT e T La ALLO, ges from equation we qonsiden molecules Land spheres. actualy attract they Bot, and each other shorten distanus, as described by Lennand-Jones potential. at repolse be can

Another way is sphere gas that mobility the being considered the free mean assume hand has the some actual gus This leads to as Bus path 111 la rket 2m P ure MEET e X - T Now, Р 2MT MIST .. Mire >l = 1/2 2me L MILE 2mt slz free path Sol Mean diffusion length. х - quin