GATE MT 2016 Q.41 During isothermal phase transformation (in solid-state), fraction transformed is measured at two different transformation times: Assuming Avrami kinetics [f = 1 – exp (–ktn)], the fraction transformed in 300 seconds is _______.
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GATE MT 2016 Q.41 During isothermal phase transformation (in solid-state), fraction transformed is measured at two different transformation times: Assuming Avrami kinetics [f = 1 – exp (–ktn)], the fraction transformed in 300 seconds is _______.
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Correct answer is 0.83 Assuming Avrami kinetics [f = 1 – exp (–ktn)] Two cases arises in this question. Case 1: [0.11 = 1 – exp (–ktn)] ktn= 0.1625 Case 2: [0.37 = 1 – exp (–ktn)] ktn= 0.4 On dividing both the cases (t1/t2)n = (0.1625/0.4) Taking log on both sides, nln(t1/t2)=Read more
Correct answer is 0.83
Assuming Avrami kinetics [f = 1 – exp (–ktn)]
Two cases arises in this question.
Case 1: [0.11 = 1 – exp (–ktn)]
ktn= 0.1625
Case 2: [0.37 = 1 – exp (–ktn)]
ktn= 0.4
On dividing both the cases (t1/t2)n = (0.1625/0.4)
Taking log on both sides,
nln(t1/t2)= log(0.1625/0.4)
n=1.2984
ktn= 0.1625
On simplification, k = 5.97 ×10-4
t=300 seconds
On substitution all the values, [f = 1 – exp (–5.97 ×10-4( 300) 1.2984 )]
f=0.83
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