ntroduction to Materials Science 5341512 and Engineering Item 2 Signed in as dal

Question

ntroduction to Materials Science 5341512 and Engineering Item 2 Signed in as dalya al bayati tem 2 previous 2 of 4 Part A A piece of pure aluminum is placed in contact with a piece of pure copper at 601 °C. will the in aluminum be at a depth of 0.500 mm after 15.0 pure copper has an effective concentration of kg/m hours? You may want to review (D pages 152-158) Express your answer to three significant figures and include the appropriate units. 1.01.103 kg Submit MLAnswers Give Incorrect. Try Again: 5 attempts remaining

Explanation / Answer

A

D = D0exp(-Qd/RT)

D0 = 6.5*10^-5

so

D = 6.5*10^-5*exp(-136000 / (8.314*(600+273))) =

D = 4.7343*10^-13 m2/s

so..

fo concentration

C(x,t) - C0 / (Cs-0) = 1 -erf(x/2*sqrt(dT))

substitute knokwn data

t = 15 h = 15*3600 s = 54000s

C- 0 / (8940-0) = 1 - erf((0.5*10^-3) / (2*sqrt(4.734*10^-13*54000))

C-0 / 8940= 1-erf(1.5636)

C = (1- 0.973) * 8940

C = 241.38

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