Q7.  calculate the half-life (t1/2) when the NO2 undergoes thermal decomposition, where the [NO2] = 2.5 x 10-2 mol L-1 at 600 K

Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Chapter32: Radiochemical Methods
Section: Chapter Questions
Problem 32.12QAP
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Q7.  calculate the half-life (t1/2) when the NO2 undergoes thermal decomposition, where the [NO2] = 2.5 x 10-2 mol L-1 at 600 K

SUMMARY OUTPUT TIME + 1/[NO2] MOL L-1
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
X Variable 1
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Regression Statistics
Intercept
X Variable 1
0.999075357
0.998151569
0.997781883
4.640839396
Multiple R
R Square
Adjusted R Squa
Standard Error
Observations
df
ANOVA
SUMMARY OUTPUT TIME + [NO2] MOL L-1
Regression
Residual
Total
Intercept
X Variable 1
Regression Statistics
7
df
1
алн
Coefficients Standard Error
104.3897787
0.759535261
5
6
0.916143317
0.839318578
0.807182293
0.001121943
df
7
SUMMARY OUTPUT TIME+ IN[NO2] MOL L-1
SS
58150.89635
107.6869515
58258.5833
1
5
6
Coefficients
Standard Error
0.008223571 0.000764476
-1.80595E-05 3.53379E-06
0.977595963
0.955693867
0.946832641
0.106721717
7
3.16219902
0.01461727
1
5
6
Coefficients
-4.773149167
-0.003490881
TIME (seconds) [NO2] mol L -1
0
0.01
0.0063
60
120
0.00518
180
0.00418
240
0.0035
SS
3.28756E-05
6.29379E-06
3.91693E-05
SS
MS
F ignificance F
58150.89635 2699.997 4.99E-08
21.5373903
F ignificance F
MS
3.28756E-05 26.11747 0.003737
1.25876E-06
Standard Error
1/[NO2] MOL L-1
0.072718592
0.000336142
400.00
1/[NO2] mol L-1
100.00
158.73
193.05
239.23
285.71
350.00
300.00
In[NO2] mol L-1
-4.61
-5.07
-5.26
-5.48
-5.65
250.00
200.00
150.00
100.00
t Stat
P-value Lower 95% Upper 95% ower 95.0%Jpper 95.0%
33.01176745 4.79E-07 96.26109 112.5185 96.26109 112.5185
51.96149855 4.99E-08 0.72196 0.79711 0.72196 0.79711
50.00
0.00
[NO2] MOL L-1
0.012
0.01
0.008
0.006
0.004
MS
ignificance F
1.228373867 1.228373867 107.8512 0.000143
0.056947624 0.011389525
1.285321491
0.002
0
0
0
50
t Stat
P-value Lower 95% Upper 95% ower 95.0%Jpper 95.0%
10.75714034 0.00012 0.006258 0.010189 0.006258 0.010189
-5.11052582 0.003737 -2.7E-05 -9E-06 -2.7E-05 -9E-06
IN[NO2] MOL L-1
50
0.00
-1.00
-2.00
-3.00
1/[NO2] mol L-1
100
-4.00
-5.00
-6.00
-7.00
0
100
●
150
150
200
TIME
[NO2] mol L -1
50
200
TIME
250
100
t Stat
P-value Lower 95% Upper 95% ower 95.0%Jpper 95.0%
-65.63863525 1.55E-08 -4.96008 -4.58622 -4.96008 -4.58622
-10.38514299 0.000143 -0.00435 -0.00263 -0.00435 -0.00263
250
300
150
300
350
In [NO2] mol L-1
350
200
TIME
400
400
250
O
300
350
400
Transcribed Image Text:SUMMARY OUTPUT TIME + 1/[NO2] MOL L-1 Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept X Variable 1 Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Regression Statistics Intercept X Variable 1 0.999075357 0.998151569 0.997781883 4.640839396 Multiple R R Square Adjusted R Squa Standard Error Observations df ANOVA SUMMARY OUTPUT TIME + [NO2] MOL L-1 Regression Residual Total Intercept X Variable 1 Regression Statistics 7 df 1 алн Coefficients Standard Error 104.3897787 0.759535261 5 6 0.916143317 0.839318578 0.807182293 0.001121943 df 7 SUMMARY OUTPUT TIME+ IN[NO2] MOL L-1 SS 58150.89635 107.6869515 58258.5833 1 5 6 Coefficients Standard Error 0.008223571 0.000764476 -1.80595E-05 3.53379E-06 0.977595963 0.955693867 0.946832641 0.106721717 7 3.16219902 0.01461727 1 5 6 Coefficients -4.773149167 -0.003490881 TIME (seconds) [NO2] mol L -1 0 0.01 0.0063 60 120 0.00518 180 0.00418 240 0.0035 SS 3.28756E-05 6.29379E-06 3.91693E-05 SS MS F ignificance F 58150.89635 2699.997 4.99E-08 21.5373903 F ignificance F MS 3.28756E-05 26.11747 0.003737 1.25876E-06 Standard Error 1/[NO2] MOL L-1 0.072718592 0.000336142 400.00 1/[NO2] mol L-1 100.00 158.73 193.05 239.23 285.71 350.00 300.00 In[NO2] mol L-1 -4.61 -5.07 -5.26 -5.48 -5.65 250.00 200.00 150.00 100.00 t Stat P-value Lower 95% Upper 95% ower 95.0%Jpper 95.0% 33.01176745 4.79E-07 96.26109 112.5185 96.26109 112.5185 51.96149855 4.99E-08 0.72196 0.79711 0.72196 0.79711 50.00 0.00 [NO2] MOL L-1 0.012 0.01 0.008 0.006 0.004 MS ignificance F 1.228373867 1.228373867 107.8512 0.000143 0.056947624 0.011389525 1.285321491 0.002 0 0 0 50 t Stat P-value Lower 95% Upper 95% ower 95.0%Jpper 95.0% 10.75714034 0.00012 0.006258 0.010189 0.006258 0.010189 -5.11052582 0.003737 -2.7E-05 -9E-06 -2.7E-05 -9E-06 IN[NO2] MOL L-1 50 0.00 -1.00 -2.00 -3.00 1/[NO2] mol L-1 100 -4.00 -5.00 -6.00 -7.00 0 100 ● 150 150 200 TIME [NO2] mol L -1 50 200 TIME 250 100 t Stat P-value Lower 95% Upper 95% ower 95.0%Jpper 95.0% -65.63863525 1.55E-08 -4.96008 -4.58622 -4.96008 -4.58622 -10.38514299 0.000143 -0.00435 -0.00263 -0.00435 -0.00263 250 300 150 300 350 In [NO2] mol L-1 350 200 TIME 400 400 250 O 300 350 400
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