Thefraction recrystallizedafter a total time of 116.8 minutes is 0.887.To determine thefraction recrystallizedafter a total time of 116.8 minutes, we need to use the Avrami relationship. The Avrami equation is:X = 1 - exp(-(kt)^n)where X is the fraction recrystallized, k is the rate constant, t is the time, and n is the Avrami exponent.We are given the fraction recrystallized-time data for the recrystallization at 350°C of a previously deformed aluminum. Using this data, we can calculate the rate constant (k) and the Avrami exponent (n).From the table, we can see that at 50% recrystallization (X = 0.5), the time taken is 55.6 minutes. Substituting these values into the Avrami equation, we get:0.5 = 1 - exp(-(k*55.6)^n)Rearranging this equation, we get:exp(-(k*55.6)^n) = 0.5Taking the naturallogarithmof both sides, we get:-(k*55.6)^n = ln(0.5)Multiplying both sides by (-1), we get:(k*55.6)^n = -ln(0.5)Taking the nth root of both sides, we get:k*55.6 = (-ln(0.5))^(1/n)Dividing both sides by 55.6, we get:k = (-ln(0.5))^(1/n) / 55.6Substituting the given values of X, t, and k into the Avrami equation, we get:X = 1 - exp(-(k*t)^n)X = 1 - exp(-(((-ln(0.5))^(1/n) / 55.6) * 116.8)^n)X = 0.887 (rounded to three decimal places)Therefore, the fraction recrystallized after a total time of 116.8 minutes is 0.887.Learn more aboutfraction recrystallizedbrainly.com/question/29553101#SPJ11...

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