12 Tutorial04-callister7e_Chapter10

12 Tutorial04-callister7e_Chapter10 - Callister, chapter 10...

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SEM212 School of Engineering and technology Callister, chapter 10 Tutorial Notes 10.8 This problem gives us the value of y (0.30) at some time t (100 min), and also the value of n (5.0) for the recrystallization of an alloy at some temperature, and then asks that we determine the rate of recrystallization at this same temperature. It is first necessary to calculate the value of k . We first rearrange Equation 10.17 ) exp( 1 n kt y = as ) exp( 1 n kt y = (1) and then take natural logarithms of both sides: n kt y = ) 1 ln( (2) Now solving for k gives 11 10 57 . 3 ) 1 ln( = = x k t y n (3) using the values cited above for y , n , and t. Remember the definition for the transformation rate: 5 . 0 1 t rate = We therefore now want to compute t 0.5 , this is the value of t for y = 0.5, which means that it is necessary to establish a form of Equation 10.17 in which t is the dependent variable. Re-arranging equation (2) gives n t k y = ) 1 ln( (4) And solving this expression for t leads to t k y n = / 1 ) 1 ln( (5) For t 0.5 , equation (5) takes the form
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This note was uploaded on 07/26/2009 for the course ENG sem212 taught by Professor Dunno during the Spring '09 term at A.T. Still University.

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12 Tutorial04-callister7e_Chapter10 - Callister, chapter 10...

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