Question

Experimental results of complete recrystallization time of a metal material are summarised in Table B2. Table B2. Recrystallisation data for a metal material. Temperature, T (°C) Recrystallisation Time, $\tau$ (x10³ sec) 43 3200 88 45 104 13 112 8.5 119 6.2 135 2.4 Use Excel plotting and fitting functions to find the solutions for the following questions. You need to layout your answers in your answer sheet with the 3 essential steps (known data, theory, and solution/answer) with necessary plots. Attach the Excel file with the plotting and fitting for as an additional uploading evidence too. Name the Excel file as \"QB5-your name\" . i. From the data provided, estimate the recrystallisation temperature for the metal material. (2 marks) ii. Using the tabulated data, determine the activation energy Q, and the pre-exponential constant A in the rate equation for recrystallisation: (5 marks) $\frac{1}{\tau} = Ae^{-\frac{Q}{RT}}$ Where R is the gas constant, 8.31 J mol?¹ K?¹ iii. Using the values of Q and A found in ii), calculate how long would it take to completely (3 marks) recrystallise the material at 100 °C?

          Experimental results of complete recrystallization time of a metal material are summarised in Table B2.
Table B2. Recrystallisation data for a metal material.
Temperature, T
(°C)
Recrystallisation Time, $\tau$
(x10³ sec)
43
3200
88
45
104
13
112
8.5
119
6.2
135
2.4
Use Excel plotting and fitting functions to find the solutions for the following questions. You need to layout your
answers in your answer sheet with the 3 essential steps (known data, theory, and solution/answer) with
necessary plots. Attach the Excel file with the plotting and fitting for as an additional uploading evidence too.
Name the Excel file as \"QB5-your name\" .
i.
From the data provided, estimate the recrystallisation temperature for the metal material.
(2
marks)
ii.
Using the tabulated data, determine the activation energy Q, and the pre-exponential constant
A in the rate equation for recrystallisation:
(5 marks)
$\frac{1}{\tau} = Ae^{-\frac{Q}{RT}}$
Where R is the gas constant, 8.31 J mol?¹ K?¹
iii.
Using the values of Q and A found in ii), calculate how long would it take to completely
(3 marks)
recrystallise the material at 100 °C?

Experimental results of complete recrystallization time of a metal material are summarised in Table B2.
Table B2. Recrystallisation data for a metal material.
Temperature, T
(°C)
Recrystallisation Time, τ
(x10³ sec)
43
3200
88
45
104
13
112
8.5
119
6.2
135
2.4
Use Excel plotting and fitting functions to find the solutions for the following questions. You need to layout your
answers in your answer sheet with the 3 essential steps (known data, theory, and solution/answer) with
necessary plots. Attach the Excel file with the plotting and fitting for as an additional uploading evidence too.
Name the Excel file as Q̈B5-your name.̈
i.
From the data provided, estimate the recrystallisation temperature for the metal material.
(2
marks)
ii.
Using the tabulated data, determine the activation energy Q, and the pre-exponential constant
A in the rate equation for recrystallisation:
(5 marks)
(1)/(τ) = Ae^-(Q)/(RT)
Where R is the gas constant, 8.31 J mol?¹ K?¹
iii.
Using the values of Q and A found in ii), calculate how long would it take to completely
(3 marks)
recrystallise the material at 100 °C?

Added by Carmen H.

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