It is known that the kinetics of recrystallization for some alloy obey the Avram

Question

It is known that the kinetics of recrystallization for some alloy obey the Avrami equation, and that the value of n in the exponential is 4.5. If, at some temperature, the fraction recrystallized is 0.30 after 100 min, determine the rate of recrystallization at this temperature. It is known that the kinetics of recrystallization for some alloy obey the Avrami equation, and that the value of n in the exponential is 4.5. If, at some temperature, the fraction recrystallized is 0.30 after 100 min, determine the rate of recrystallization at this temperature.

Explanation / Answer

Since it's given that..the kinetics of recrystallization for some alloy obey the avrami equation... But we know that..Avrami equation is

Xc(t) = 1-exp(-Ktn)

Xc(t)= Normalised crystalline content at time t

K,n are avrami constants t= 100 min n=4.5 Xc(t)= 0.3 exp(-ktn) - ln(1-y) (-ktn) - ln(1-y) k = -ln(1-y)/tn

k= -ln(1-0.30)/(1004.5)    k= 3.5667*10-10 tn = -ln(1-y)/k

     t ={-ln(1-y)/k}1/n      t0.5 = [-ln(1-0.5)/3.5667*10-10 ]1/4.5

     t0.5 = 4.165621*10-3  min

now rate= 1/t0.5

= 1/4.165621*10-3

   =240.06 min-1

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.