(a)
Interpretation:
The Ptotal at
Concept Introduction:
Integrated rate laws for zero, first and second order reactions are,
Zeroth order:
First order:
Second order:
(a)
Answer to Problem 108AE
Explanation of Solution
The order of the reaction should be determined first.
Initial pressure of C2H5OH =
If x is the pressure of C2H5OH reacts, then at any time, t
t (s) | PTotal (torr) | x (torr) | Pethanol (torr) |
0 | 250 | 0 | 250 |
10 | 265 | 15 | 235 |
20 | 280 | 30 | 220 |
30 | 295 | 45 | 205 |
40 | 310 | 60 | 190 |
50 | 325 | 75 | 175 |
Pethanol versus time plot is linear. So, decomposition of ethanol follows zeroth order kinetics with respect to ethanol.
According to the equation on chart, Ptotal can be calculated as follows.
(b)
Interpretation:
The value of the rate constant and the units should be determined.
Concept Introduction:
Integrated rate laws for zero, first and second order reactions are,
Zeroth order:
First order:
Second order:
(b)
Answer to Problem 108AE
Explanation of Solution
Pethanol versus time plot is linear. So, decomposition of ethanol follows zeroth order kinetics with respect to ethanol.
Integrated rate law for the reaction;
So, the slope of the graph gives the value of the rate constant.
(c)
Interpretation:
The order of the reaction should be determined.
Concept Introduction:
Integrated rate laws for zero, first and second order reactions are,
Zeroth order:
First order:
Second order:
(c)
Answer to Problem 108AE
Zeroth order
Explanation of Solution
Pethanol versus time plot is linear. So, decomposition of ethanol follows zeroth order kinetics with respect to ethanol.
Integrated rate law for the reaction;
(d)
Interpretation:
Ptotal at
Concept Introduction:
Integrated rate laws for zero, first and second order reactions are,
Zeroth order:
First order:
Second order:
(d)
Answer to Problem 108AE
Explanation of Solution
According to the equation on chart, Ptotal can be calculated as follows.
But this is an impossible answer. Because the maximum pressure that can be after the completion of reaction is 500 torr.
When all the ethanol is decomposed
Therefore, at
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Chapter 15 Solutions
Chemical Principles
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