2) Consider the following reaction and associated rate law: X (g) + Y(g) → Z Rate = k[X] [Y] b Use the data in Table 1 in the following problems. Table 1 Reaction Data [X]。 (M) [Y]。 (M) Rate (M/s) 0.882 0.217 283. 07 0.882 0.451 624. 47 0.882 0.572 820.57 0.882 0.882 1308. 22 0.228 0.882 124.96 0.442 0.882 382. 56 0.67 0.882 804. 48 b) Use the Linear Regression method to estimate a, b, the reaction order k, and their standard deviations. In this approach, you analyze initial rate data by fixing the concentration of all but one species, say X. Next, the rate law equation is linearized through a logarithmic transformation and a least-squares analysis is used to obtain a and its standard devaition. The process is repeated by keeping (X) constant and varying [Y] to obtain b and its standard deviation. Finally, using a and b, the average value of k and its standard deviation are deduced. a +/- b = +/- || +/- Reaction order k +/-

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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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2) Consider the following reaction and associated rate law:
X (g) + Y(g) → Z
Rate = k[X] [Y] b
Use the data in Table 1 in the following problems.
Table 1 Reaction Data
[X]。 (M)
[Y]。 (M)
Rate (M/s)
0.882
0.217
283. 07
0.882
0.451
624. 47
0.882
0.572
820.57
0.882
0.882
1308. 22
0.228
0.882
124.96
0.442
0.882
382. 56
0.67
0.882
804. 48
Transcribed Image Text:2) Consider the following reaction and associated rate law: X (g) + Y(g) → Z Rate = k[X] [Y] b Use the data in Table 1 in the following problems. Table 1 Reaction Data [X]。 (M) [Y]。 (M) Rate (M/s) 0.882 0.217 283. 07 0.882 0.451 624. 47 0.882 0.572 820.57 0.882 0.882 1308. 22 0.228 0.882 124.96 0.442 0.882 382. 56 0.67 0.882 804. 48
b) Use the Linear Regression method to estimate a, b, the reaction order k, and their standard deviations. In
this approach, you analyze initial rate data by fixing the concentration of all but one species, say X. Next,
the rate law equation is linearized through a logarithmic transformation and a least-squares analysis is used
to obtain a and its standard devaition. The process is repeated by keeping (X) constant and varying [Y] to
obtain b and its standard deviation. Finally, using a and b, the average value of k and its standard
deviation are deduced.
a
+/-
b
=
+/-
||
+/-
Reaction
order
k
+/-
Transcribed Image Text:b) Use the Linear Regression method to estimate a, b, the reaction order k, and their standard deviations. In this approach, you analyze initial rate data by fixing the concentration of all but one species, say X. Next, the rate law equation is linearized through a logarithmic transformation and a least-squares analysis is used to obtain a and its standard devaition. The process is repeated by keeping (X) constant and varying [Y] to obtain b and its standard deviation. Finally, using a and b, the average value of k and its standard deviation are deduced. a +/- b = +/- || +/- Reaction order k +/-
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