b. The following data are taken for CA (t): t (min) CA (lb-mole/ft³) 0.5 1.0 1.5 2.0 3.0 5.0 10.0 1.02 0.84 0.69 0.56 0.38 0.17 0.02 Verify the proposed rate las graphically (first determine what plot should yield a straight line), and calculate CAO and k.

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Chapter1: Chemical Foundations
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Please solve manually. No excel to find the values. Answer letter b. 

The reaction A → B is carried out in a laboratory reactor. According to a published article
the concentration of A should vary with time as follows:
C₁=C₁0 exp(-kt)
where CÃO is the initial concentration of A in the reactor and k is a constant.
a. If CA and CAO are in lb-moles/ft3 and t is in minutes, what are the units of k?
b. The following data are taken for CA (t):
t (min) CA (lb-mole/ft³)
0.5
1.02
1.0
0.84
1.5
0.69
2.0
0.56
3.0
0.38
5.0
0.17
10.0
0.02
Verify the proposed rate las graphically (first determine what plot should yield a straight
line), and calculate Cao and k.
c. Convert the formula with the calculated constants included to an expression for
the molarity of A in the reaction mixture in terms of t (seconds). Calculate the
molarity at t = 265 s.
Transcribed Image Text:The reaction A → B is carried out in a laboratory reactor. According to a published article the concentration of A should vary with time as follows: C₁=C₁0 exp(-kt) where CÃO is the initial concentration of A in the reactor and k is a constant. a. If CA and CAO are in lb-moles/ft3 and t is in minutes, what are the units of k? b. The following data are taken for CA (t): t (min) CA (lb-mole/ft³) 0.5 1.02 1.0 0.84 1.5 0.69 2.0 0.56 3.0 0.38 5.0 0.17 10.0 0.02 Verify the proposed rate las graphically (first determine what plot should yield a straight line), and calculate Cao and k. c. Convert the formula with the calculated constants included to an expression for the molarity of A in the reaction mixture in terms of t (seconds). Calculate the molarity at t = 265 s.
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