A chemical engineer is studying the rate of this reaction. 2C1,0, (g) → 2Cl, (g) + 50, (g) He fills a reaction vessel with Cl,0, and measures its concentration as the reaction proceeds. Here's a graph of his data: 1- 0.8- 0.6- 0.4 0.2 0- 0.2 0.4 0.8 12 0.6 i (s) (w) [*o*p]

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Finding halt life
A chemical engineer is studying the rate of this reaction.
2Cl,05 (g) → 2Cl, (g) +50, (g)
He fills a reaction vessel with Cl,0, and measures its concentration as the reaction proceeds. Here's a graph of his data:
0.8-
0.6-
0.4
0.2
0.
0.2
0.4
0.6
0.8
1
1.2
(s)
Use this graph to answer the following questions:
What is the half life of the reaction?
t, ,, = Ms
%D
x10
Explanation
Check
O 2021 McGraw-Hill Education.
(w)[°o*p]
Transcribed Image Text:Finding halt life A chemical engineer is studying the rate of this reaction. 2Cl,05 (g) → 2Cl, (g) +50, (g) He fills a reaction vessel with Cl,0, and measures its concentration as the reaction proceeds. Here's a graph of his data: 0.8- 0.6- 0.4 0.2 0. 0.2 0.4 0.6 0.8 1 1.2 (s) Use this graph to answer the following questions: What is the half life of the reaction? t, ,, = Ms %D x10 Explanation Check O 2021 McGraw-Hill Education. (w)[°o*p]
and rate constant from a graph of concentration...
.4
0.2-
0.
0.
0.2
0.4
0.6
0.8
1
1.2
t (s)
Use this graph to answer the following questions:
What is the half life of the reaction?
1/2 = 0
x10
Round your answer to 2 significant digits.
Suppose the rate of the reaction is known to be first order in
CI,05. Calculate the value of the rate constant k.
k = 0
Round your answer to 2 significant digits. Also be sure you
include the correct unit symbol.
Predict the concentration of CI,0, in the engineer's
reaction vessel after 2.20 seconds have passed.
[c,0,] = 0M
Assume no other reaction is important, and continue to
%3D
assume the rate is first order in Cl,0s.
Round your answer to 2 significant digits.
Transcribed Image Text:and rate constant from a graph of concentration... .4 0.2- 0. 0. 0.2 0.4 0.6 0.8 1 1.2 t (s) Use this graph to answer the following questions: What is the half life of the reaction? 1/2 = 0 x10 Round your answer to 2 significant digits. Suppose the rate of the reaction is known to be first order in CI,05. Calculate the value of the rate constant k. k = 0 Round your answer to 2 significant digits. Also be sure you include the correct unit symbol. Predict the concentration of CI,0, in the engineer's reaction vessel after 2.20 seconds have passed. [c,0,] = 0M Assume no other reaction is important, and continue to %3D assume the rate is first order in Cl,0s. Round your answer to 2 significant digits.
Expert Solution
Step 1

The given graph represents a first order reaction. The initial concentration of reactant is 0.8 and half of the initial concentration of the reactant equals 0.4 mol/L. The time consumed by the reaction to half the initial concentration value is called as half-life and the value of half-life in this case is 0.2 second.

The rate constant of the reaction (k) is equal to 0.693/0.2 = 3.5 s-1 (two significant digits)

 

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