For some transformation having kinetics that obey the avrami...

For some transformation having kinetics that obey the Avrami equation (Equation 10.17), the parameter n is known to have a value of 2.4. If, after 134 s, the reaction is 50% complete, how long (total time) will it take the transformation to go to 93% completion?

Transcript

00:01 In this equation we are given that for some transformation of having kinetic energy which always the aram equation.

00:09 For this, the parameter n is given by 2 .8 and the time for completion of 50 % of equation is given by 134 seconds.

00:18 So we have to find out the time for completion of 88 % of the equation.

00:24 So for this we will make use of the equation which is given by a y is equal to 1 minus e raised to power minus k to the power and where these parameters are provided here and k is a constant.

00:46 So first of all from here we will find out the value of k.

00:50 So when we substitute all these values here, we are given that the first 50 % of the reaction parameters are given.

00:59 So we will substitute value here 50 % mean to say it's a 0 .5 is equal to 1 minus e -rash power minus k is a constant not provided here and time is 134 second and its power is 2 .8.

01:22 So now from here we will solve this equation for value of k.

01:26 Now we will rearrange the equation and that will give us to like this e -rish power minus k 134 power 2 .8 is equal to here one one minus zero point four five it will came out to be again 0 .5 now we will take the logarithm on both sides then that value of k will from here will came out to be it is 0 .693 divided by 134 power 2 .8 so we will solve substitute this value again for finding out the completion of 88 % of the equation for that we will use the equation again which is here this equation will be used we will write it again y is equal to 1 minus e raise power minus k t to the power n now we will substitute the values which we have find it here here y is 0 .88 because we have to find out for the 88 % of completion 1 minus e raise power minus k we have find it here k value is it's 0 .693 divided by 134 power 2 decimal 8 and t is here t we have to find out here it will be 2 .8 so now we will rearrange the equation for finding out this we will take this parameter to the right -hand side it will come out to be errat for minus 699 3...

Question

For some transformation having kinetics that obey the Avrami equation (Equation 10.17), the parameter n is known to have a value of 2.4. If, after 134 s, the reaction is 50% complete, how long (total time) will it take the transformation to go to 93% completion?

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