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calculation of rate and determine the reaction

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calculation of rate and determine the reaction

homework problems:
Place the final answer in the box.
1.
Given the reaction
N2(g) + 3H2(g) 2NH3(g)
The rate H2 is reacting is 0.074 M/s
2.
a.
What is the rate NH3 is formed?
b.
What is the rate N2 is reacting?
a. Determine the rate law for the following reaction using the data provided.
F2(g) + 2 ClO2(g) → 2 FClO2(g)
[F2]i (M)
[ClO2]i (M)
Initial Rate (M/s)
0.10
0.010
0.10
0.040
1.2 x 10-2
4.8 x 10-2
0.20
0.010
2.4 x 10-2
b. Determine the value of k.
Determine the value
of k
c. What is the initial rate if [F2] = 0.010 M and [ClO2] = 0.020 M?
Determine the value
of k
Initial rate of
disappearance
of X (M/s)
[X]
3. Given the reaction X + Y Z and the data table below.
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
0.508
a.
[X]
0.10
0.20
0.40
0.20
0.40
[Y]
0.50
0.30
0.60
0.60
0.30
Determine the reaction order for X and Y and overall reaction order.
X
Y
Deter
mine
the
value
of k
Deter
mine
the
value
of k
Overall
Deter
mine
the
value
of k
Initial rate of Initial rate of Initial rate of
disappearancedisappearance disappearance
of X (M/s)
of X[X]
(M/s)
[Y]
of X[X]
(M/s)
0.147
0.147
0.1
0.50.147
0.1
0.127
0.127
0.2
0.30.127
0.2
4.064
4.064
0.4
0.64.064
0.4
1.016
1.016
0.2
0.61.016
0.2
0.508
0.508
0.4
0.30.508
0.4
b.
[Y]
0.5
0.3
0.6
0.6
0.3
[X]
0.1
0.2
0.4
0.2
0.4
Determine the rate of disappearance when [X] =0.30 M and [Y] = 0.40 M.
Determine the value
of k
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
0.508
[X]
0.1
0.2
0.4
0.2
0.4
4. Given the reaction A B with a rate of 1.6 x 10-2 M/s at [A] = 0.35 M.
a. Calculate the rate constant k for 1st order reaction.
Determine the value
of k
b. Calculate the rate constant k for 2nd order reaction.
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
0.508
[X]
0.1
0.2
0.4
0.2
0.4
Determine the value
of k
5. Given the 1st order reaction 4PH3(g) P4(g) + 6H2(g).
a. Calculate the rate constant if the half-life of the reaction is 3.50 sec at 680oC.
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
0.508
[X]
0.1
0.2
0.4
0.2
0.4
Determine the value
of k
b. Calculate the time required for 95% of PH3 to decompose.
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
Determine
0.508the value
of k
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
[X]
0.1
0.2
0.4
0.2
0.4
[X]
0.1
0.2
0.4
0.2
6. The rate constant for the second-order reaction below is 0.54/M . s.
2NO2(g) 2NO(g) + O2(g)
a. How long would it take for the concentration of NO2 to decrease from 0.62 M to 0.28 M?
Determine the value
of k
b. Calculate the half-lives at these two concentrations.
Initial rate of
Initial rate o
disappearance
disappearan
of X (M/s)
of X (M/s)
0.147
0.147
0.127
0.127
4.064 Determ 4.064
Determ
1.016
ine the1.016 ine the
0.508
value0.508 value
of k
of k
Initial rate of Initial rate of
disappearancedisappearance
of X (M/s) of X (M/s)
[X]
0.147
0.147
0.1
0.127
0.127
0.2
4.064
4.064
0.4
1.016
1.016
0.2
0.508
0.508
0.4
7. For a given reaction, the rate is 1.50 x 103 faster at 250 oC than 150 oC (at the same concentrations).
Calculate the activation energy for the reaction.
Determine the value
of k
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
0.508
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
0.508
8: The rate constant of a first order reaction is 4.60 x 10-4 /s at 350 oC. If the activation energy is
104 kJ/mole, calculate the temperature at which its rate constant is 8.80 x 10-4 /s.
Determine the value
of k
Initial rate of
Initial rate of
disappearance
disappearance
of X (M/s)
of X (M/s)
9: If a reaction has a rate of 2.0 x 102 atm/min at 27 oC but only 39.6 atm/min at 5 oC (at the same
0.147
0.147
0.127
0.127
concentrations), what is the activation energy of this reaction?
4.064
4.064
1.016
1.016
Determine the value
0.508
0.508
of k
Initial rate of
disappearance
of X (M/s)
0.147
0.127
4.064
1.016
0.508
Initial rate
disappeara
of X (M/
0.147
0.127
4.064
1.016
0.508

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