please I need the graphs to question 2 above drawn and also the calculations. th
ID: 560867 • Letter: P
Question
please I need the graphs to question 2 above drawn and also the calculations. this is my second time sending this question please draw the graphs. I want to see them.
Explanation / Answer
Compare with the linear regression equation and get
-Ea/R = -(25308 K)
====> Ea = R*(25308 K) = (8.314 J/mol.K)*(25308 K)*(1 kJ/1000 J) = 210.4107 kJ/ mol 210.41 kJ/mol.
2a) Start with the generalized equations for a 1st order and a 2nd order reaction. The rate equations are
1st. order:
ln [A] = ln [A]0 – k*t where [A] = concentration of the reactant at time t; [A]0 = concentration of the reactant at t =0 and k = 1st. order rate constant.
2nd. order:
1/[A] = /1[A]0 + k*t where k = 2nd. order rate constant.
Prepare the following table.
Time (min)
[N2O5] (M)
ln [N2O5]
1/[N2O5] (M-1)
0
0.250
-1.3863
4.0000
60
0.218
-1.5233
4.5871
90
0.204
-1.5896
4.9020
120
0.190
-1.6607
5.2631
180
0.166
-1.7958
6.0241
Plot ln [N2O5] vs t and 1/[N2O5] vs t in two separate plots.
Both the plots are linear; however, the plot of ln [N2O5] vs t has a R2 value closer to 1.000 and hence, the reaction is 1st order.
The linear equation for the 1st order equation is y = -0.0023x – 1.3863; compare this with the 1st order rate law to get the numerical value of k as 0.0023; the unit of k is s-1 and hence, the rate constant is 0.0023 s-1 (ans).
b) Use the Arrhenius equation. The exponential form of the Arrhenius equation is given as
ln k = ln A – Ea/RT where Es is the activation energy for the reaction, R is the gas constant and T is the absolute temperature; A is the pre-exponential factor.
Prepare a table of ln k vs T values as below.
Temperature (°C)
Temperature (K) = Temperature (°C) + 273
1/T (K-1)
k (s-1)
ln k
250
523
0.001912
1.8*10-6
-13.2277
268
541
0.001848
1.5*10-5
-11.1075
287
560
0.001786
6.0*10-5
-9.7212
303
576
0.001736
1.6*10-4
-8.7403
Plot ln k against 1/T as below.
Time (min)
[N2O5] (M)
ln [N2O5]
1/[N2O5] (M-1)
0
0.250
-1.3863
4.0000
60
0.218
-1.5233
4.5871
90
0.204
-1.5896
4.9020
120
0.190
-1.6607
5.2631
180
0.166
-1.7958
6.0241
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