A chemical reaction has been characterized via a calorimeter and the following results were obtained:

Reaction order, \(n: 1.00\)

Detected onset temperature, \(T o: 350 \mathrm{~K}\)

Final temperature, \(T F: 612 \mathrm{~K}\)

Activation energy, \(E a: 29.1 \mathrm{~kJ} / \mathrm{mol}\)

Pre-exponential, \(A: 2 \times 10^{-2} \mathrm{~s}^{-1}\)

a. What are the values of the dimensionless parameters \(B\) and \(\Gamma\)

b. What is the maximum temperature rate \((\mathrm{K} / \mathrm{s})\) and at what temperature does this occur \((\mathrm{K})\) ?

c. How many seconds after the detected onset temperature does the maximum temperature rate occur? (Hint: Use Figure 8-8.)

Transcribed Image Text:

Dimensionless Time to Max. Rate, Tm 0.4 0.35 n=1 0.3 0.25 0.2 0.15 0.1 0.05 0 012 st 3 2 1.5 0.75 B=0.5 3 4 5 6 7 8 9 10 Dimensionless Activation Energy, I Figure 8-8 Time to maximum self-heat rate for a first-order reaction: low I range. The vertical lines on each curve represent the maximum value.