A + 3 B 2 C 1a. Using Figure 5 , what is the rate for the appearance of C at 0.1

Question

A + 3 B 2 C

1a. Using Figure 5, what is the rate for the appearance of C at 0.10 minutes in this reaction? M/min

1b. Using Figure 5, what is the rate of the overall reaction at 0.10 minutes in this reaction? M/min

1c.  If the rate of disappearance of [B] in Figure 5 is -1.16 M/min at t = 0.400 minutes into the reaction:  What is the rate of the appearance of [C]? and what is the rate of the overall reaction?

Figure 5: Concentration as a Function of Time for the Reaction A +3 B ---> 2 OC 3 Slope-A[A]/dt =-1.80 M/min Rate of A disappearing 1.80 M/min 0 2.5 2 Slope = [B]/At =-5.40 M/min Rate of B disappearing = 5.40 M/min 8 9 O1.5 0 0 0.2 0.4 0.5 0.6 9 0.3 Time (minutes)

Explanation / Answer

1a.

rate of appearance of C, is twice of that of A

from A --> slope = 1.8 m/min

then

Rate of C production = 2x(1.8) = 3.6 M/min

b)

overall --> must be based on a single mol, the best option will be based on A so

Rate of reaction = 1.8 M/min

c)

find rate of C at t = 0.4

given, [B] = 1.16 M

ratio is 3:2 so

Rate of C = 2/3*Rate of B = 2/3*1.16 = 0.7733 M/s

report it as positive, since it is appearing

now, rate of overall reaction -- >Rate of Total = 1/2*Rate of C = 1/2*0.7733 = 0.38665 M/s

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