Question
In: Chemistry
The following data show the rate constant of a reaction measured at several different temperatures. Temperature...
The following data show the rate constant of a reaction measured at several different temperatures. Temperature (K) at 310 has a rate constant (1/s) of 4.65×10^−2 . Temperature (K) at 320 has a rate constant (1/s) of 0.139. Temperature (K) at 330 has a rate constant (1/s) of 0.386. Temperature (K) at 340 has a rate constant (1/s) of 1.01. Temperature (K) at 350 has a rate constant (1/s) of 2.52. Part A) Use an Arrhenius plot to determine the activation barrier for the reaction. Part B) Use an Arrhenius plot to determine the frequency factor for the reaction.
Solutions
Expert Solution
k1 = 4.65*10-2 sec-1
T1 = 310K
K2 = 0.139sec-1
T2 = 320K
logK2/K1 = Ea/2.303R [1/T1 -1/T2]
log0.139/4.65*10-2 = Ea/2.303*8.314 [1/310 -1/320]
0.4755 = Ea/19.147 (0.00322-0.003125)
0.4755 = Ea *9.5*10-5/19.147
Ea = 0.4755*19.147/9.5*10-5 = 9.58*104 Joules
K =A e-Ea/RT
4.65*10-2 = A e-9.58*104/8.314*310
4.65*10-2 = Ae-95800/2577.3
4.65*10-2 = Ae-37.17
A = 4.65*10-2/7.2*10-17 = 6.45*1014 sec-1
queen_honey_blossom answered 2 years agoRelated Solutions
The following data show the rate constant of a reaction measured at several different temperatures. 1.Use...
The following data show the rate constant of a reaction measured
at several different temperatures.
1.Use an Arrhenius plot to determine the activation barrier for
the reaction.
2.Use an Arrhenius plot to determine frequency factor for the
reaction.
Temperature (K)
Rate Constant (1/s)
300
1.01×10−2
310
3.18×10−2
320
9.30×10−2
330
0.255
340
0.658
The rate of a certain reaction was studied at various temperatures. The table shows temperature (T)...
The rate of a certain reaction was studied at various temperatures. The table shows temperature (T) and rate constant (k) data collected during the experiments. Plot the data, and then answer the following questions.
What is value of the activation energy, E_a for this reaction
What is the value of the pre-exponential factor (sometimes called the frequency factor), A, for this reaction
The rate of a certain reaction was studied at various temperatures. The table shows temperature (T)...
The rate of a certain reaction was studied at various
temperatures. The table shows temperature (T) and rate constant (k)
data collected during the experiments. Plot the data to answer the
questions.
What is the value of the activation energy, Ea , for this
reaction?
T (K)
k (s−1)
400
0.000108
420
0.000626
440
0.00310
460
0.0134
480
0.0511
500
0.175
520
0.547
540
1.57
560
4.18
580
10.4
Rate-study data In a study conducted at the same temperature, the following data for reaction producing...
Rate-study data
In a study conducted at the same temperature, the following data
for reaction producing nitrosyl bromide were collected.
Trial
Initial [NO]
(M)
Initial [Br2]
(M)
Initial rate
(M/s)
1
0.150
0.240
48
2
0.300
0.240
191
3
0.300
0.480
383
Part C
What is the rate of the reaction when the initial concentration
of NO is 0.400 M and that of Br2 is 0.235 M ?
Express your answer to three significant figures and include the
appropriate units.
Using the data in the table, calculate the rate constant of this reaction.
Using the data in the table, calculate the rate constant of this
reaction.
A+B⟶C+DA+B⟶C+D
Trial
[?] (?)[A] (M)
[?] (?)[B] (M)
Rate (M/s)
1
0.290
0.240
0.0197
2
0.290
0.528
0.0953
3
0.522
0.240
0.0355
?=
Units=
In the following reaction, assume that the reaction enthalpy is independent of temperature, and the data...
In the following reaction, assume that the reaction enthalpy is
independent of temperature, and the data given below are at 25°C.
Calculate the standard reaction Gibbs energy and reaction enthalpy
(kJ/mol) and the equilibrium constant at 298K and 450K. (a)
∆rG°(298K)=___________ (b)K(298K)=___________
(c)∆rH°(298K)=___________ (d)∆rG°(450K)=___________
(e)K(450K)=_____________
PbO(s) + CO(g) = Pb(s) + CO2(g).
∆fG°(KJmol-1) -188.93 -137.17 0 -394.36
∆fH°(KJmol-1) -218.99 -110.53 0 -393.51
Consider this initial-rate data at a certain temperature for the reaction described by :  
Consider this initial-rate data at a certain temperature for the
reaction described by
:
OH-(aq)
OCl-(aq) + I- (aq) --------------> OI-(aq) + Cl-(aq)
Trial [OCl-]0
(M)
[I-]0
(M)
[OH-]0
(M)
Initial rated (M/s)
1
0.00161
0.00161
0.530
0.000335
2
0.00161
0.00301
0.530
0.000626
3
0.00279 0.00161
0.710
0.000433
4
0.00161
0.00301
0.880
0.000377
Determine the tate law and the value of the rate constant for
this reaction.
At a certain temperature, the equilibrium constant, Kc, for this reaction is 53.3. At this temperature,...
At a certain temperature, the equilibrium constant, Kc, for this
reaction is 53.3. At this temperature, 0.500 mol of H2 and 0.500
mol of I2 were placed in a 1.00-L container to react. What
concentration of HI is present at equilibrium?
Using the data in the table, determine the rate constant of the reaction and select the...
Using the data in the table, determine the rate constant of the
reaction and select the appropriate units.
A+2B⟶C+D
Trial
[A] (M)[A] (M)
[B] (M)[B] (M)
Rate (M/s)
1
0.3900.390
0.3800.380
0.01730.0173
2
0.3900.390
0.7600.760
0.01730.0173
3
0.7800.780
0.3800.380
0.06920.0692
k=
Units
M−1s−1
Using the data in the table, determine the rate constant of the reaction and select the...
Using the data in the table, determine the rate constant of the
reaction and select the appropriate units. A+2B⟶C+D
Trial
[?] (?)[A] (M)
[?] (?)[B] (M)
Rate (M/s)
1
0.2400.240
0.4000.400
0.02350.0235
2
0.2400.240
0.8000.800
0.02350.0235
3
0.4800.480
0.4000.400
0.09400.0940
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