Mathematics, 26.05.2021 21:50 chessacs6540
The kinetics of some phase transformations obey the Avrami relationship. Using the fraction transformed-time data given below, determine the total time required for the transformation to go to 92% completion. Fraction transformed Time (s) 0.2 12.6 0.7 25.7 Enter your answer in accordance to the question statement s
Answers: 3
![$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$](/tpl/images/1349/8588/7175f.png)
![$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$](/tpl/images/1349/8588/e7fc7.png)
.........(i)![$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$](/tpl/images/1349/8588/d76e4.png)
..............(ii)
![$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$](/tpl/images/1349/8588/c75e1.png)
![$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$](/tpl/images/1349/8588/e6dbd.png)
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The kinetics of some phase transformations obey the Avrami relationship. Using the fraction transfor...
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