gp3s

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GP3-1 Solution The activation energy for the diffusion of copper in silver is 193,000 J/mol. Calculate the diffusion coefficient at 927°C, given that D at 727°C is 1.0 X 10 -14 m 2 /s. D D o exp Q d R T ti l[ 2 /] = diffusion coefficient [m 2 /s] D D = pre-exponential [ m 2 / s] = activation energy [J/mol or eV/atom] = gas constant [8.314 J/mol-K] D o Q d R 1 1 Q m 2 13 1 1 193000 = absolute temperature [K] T 1 2 1 2 1 1 exp T T R Q D D d Juan C. Nino - EMA 3010 Materials - February 8, 2011 35 s m D D K K 2 13 1000 1200 10 8 . 4 1000 1 1200 1 31 . 8 193000 exp

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Page 1: GP3S

GP3-1 Solution

The activation energy for the diffusion of copper in silver is 193,000 J/mol. Calculate the diffusion coefficient at 927°C, given that D at 727°C is 1.0 X 10-14 m2/s.

D Do exp

Qd

RT

ti l [ 2/ ]

= diffusion coefficient [m2/s]D

D = pre-exponential [m2/s]

= activation energy [J/mol or eV/atom]

= gas constant [8.314 J/mol-K]

Do

Qd

R

11Q

m 21311193000

= absolute temperature [K]T

1212

11exp TTR

QDD d

Juan C. Nino - EMA 3010 Materials - February 8, 2011 35

smDD KK

21310001200 108.4

10001

12001

31.8193000exp