The isomerization of cyclopropane, C3H6, to propylene, CH2=CHCH3, is first order in cyclopropane and first order overall. At 1000°C, the rate constant is 9.2/s. What is the half-life of cyclopropane at 1000 °C? How long would it take for the concentration of cyclopropane to decrease to 50% of its initial value? to 25% of its initial value?

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter18: Nuclear Chemistry
Section: Chapter Questions
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The isomerization of cyclopropane, C3H6, to propylene, CH2=CHCH3, is first order in cyclopropane and first order overall. At 1000°C, the rate constant is 9.2/s. What is the half-life of cyclopropane at 1000 °C? How long would it take for the concentration of cyclopropane to decrease to 50% of its initial value? to 25% of its initial value?

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Exercises related to rate law
1. The reaction A(g) → B(g) + C(g) is known to be first order in A(g). It takes 25 s for the
concentration of A(g) to decrease by one-half of its initial value. How long does it take for
the concentration of A(g) to decrease to one-fourth of its initial value? to one-eighth of its
initial value?
2. A reaction of the form aA > Products is second-order with a rate constant of 0.225 L/(mol-s). If the
initial concentration of A is 0.293 mol/L, what is the molar concentration of A after 35.4 s?
3. A reaction of the form aA → Products is second order with a rate constant of 0.169 L/(mol-s). If the
initial concentration of A is 0.159 mol/L, how many seconds would it take for the concentration of A to
decrease to 6.07 x 10° mol/L?
4. Ethyl chloride, CH3CH2CI, used to produce tetraethyllead gasoline additive, decomposes, when
heated, to give ethylene and hydrogen chloride.
CH3CH2CI(g) → C2H4(g) + HCI(g)
The reaction is first order. In an experiment, the initial concentration of ethyl chloride was 0.00100 M.
After heating at 500°C for 155 s, this was reduced to 0.00067 M. What was the concentration of ethyl
chloride after a total of 256 s?
5. Cyclobutane, C4H8, consisting of molecules in which four carbon atoms form a ring, decomposes,
when heated, to give ethylene.
CAH8(g) → 2C2H4(g)
The reaction is first order. In an experiment, the initial concentration of cyclobutane was 0.00150 M.
After heating at 450°C for 455 s, this was reduced to 0.00119 M. What was the concentration of
cyclobutane after a total of 750 s?
6. Methyl isocyanide, CH3NC, isomerizes, when heated, to give acetonitrile (methyl cyanide), CH3CN.
CH3NC(g) > CH3CN(g)
The reaction is first order. At 230°C, the rate constant for the isomerization is 6.3 x 10/s. What is the
half-life? How long would it take for the concentration of CH3NC to decrease to 50.0% of its initial
value? to 25.0% of its initial value?
7. Dinitrogen pentoxide, N2O5, decomposes when heated in carbon tetrachloride solvent.
N2O5 > 2NO2 + ½O2(g)
If the rate constant for the decomposition of N2O5 is 6.2 x 10/min, what is the half-life? (The rate law is
first order in N2O5.) How long would it take for the concentration of N2O5 to decrease to 25% of its
initial value? to 12.5% of its initial value?
Page
1 | 1
...
Transcribed Image Text:New Tab A Autumn-2020-BCB104-1 1 b Enter your payment details | bart x & Half-life and carbon dating (videc x + i classroom.google.com/u/1/c/MJAZMD91NZAZNTYX E Apps O (63) YouTube 9 * Google Translate T TorrentBD : Home A Classes L My Drive - Google... E Google Docs Quran.com voot Bigg Boss Season 1.. E Synthesis and deco. 8 Biosynthesis of Sele. W Exercises.docx B104-1 Open with ▼ Exercises related to rate law 1. The reaction A(g) → B(g) + C(g) is known to be first order in A(g). It takes 25 s for the concentration of A(g) to decrease by one-half of its initial value. How long does it take for the concentration of A(g) to decrease to one-fourth of its initial value? to one-eighth of its initial value? 2. A reaction of the form aA > Products is second-order with a rate constant of 0.225 L/(mol-s). If the initial concentration of A is 0.293 mol/L, what is the molar concentration of A after 35.4 s? 3. A reaction of the form aA → Products is second order with a rate constant of 0.169 L/(mol-s). If the initial concentration of A is 0.159 mol/L, how many seconds would it take for the concentration of A to decrease to 6.07 x 10° mol/L? 4. Ethyl chloride, CH3CH2CI, used to produce tetraethyllead gasoline additive, decomposes, when heated, to give ethylene and hydrogen chloride. CH3CH2CI(g) → C2H4(g) + HCI(g) The reaction is first order. In an experiment, the initial concentration of ethyl chloride was 0.00100 M. After heating at 500°C for 155 s, this was reduced to 0.00067 M. What was the concentration of ethyl chloride after a total of 256 s? 5. Cyclobutane, C4H8, consisting of molecules in which four carbon atoms form a ring, decomposes, when heated, to give ethylene. CAH8(g) → 2C2H4(g) The reaction is first order. In an experiment, the initial concentration of cyclobutane was 0.00150 M. After heating at 450°C for 455 s, this was reduced to 0.00119 M. What was the concentration of cyclobutane after a total of 750 s? 6. Methyl isocyanide, CH3NC, isomerizes, when heated, to give acetonitrile (methyl cyanide), CH3CN. CH3NC(g) > CH3CN(g) The reaction is first order. At 230°C, the rate constant for the isomerization is 6.3 x 10/s. What is the half-life? How long would it take for the concentration of CH3NC to decrease to 50.0% of its initial value? to 25.0% of its initial value? 7. Dinitrogen pentoxide, N2O5, decomposes when heated in carbon tetrachloride solvent. N2O5 > 2NO2 + ½O2(g) If the rate constant for the decomposition of N2O5 is 6.2 x 10/min, what is the half-life? (The rate law is first order in N2O5.) How long would it take for the concentration of N2O5 to decrease to 25% of its initial value? to 12.5% of its initial value? Page 1 | 1 ...
New Tab
A Autumn-2020-BCB104-1 1
b Enter your payment details | bart x
& Half-life and carbon dating (videc x
+
i classroom.google.com/u/1/c/MJAZMD91NZAZNTYX
E Apps
O (63) YouTube
9 * Google Translate
T TorrentBD : Home
A Classes
L My Drive - Google...
E Google Docs
Quran.com
voot Bigg Boss Season 1..
E Synthesis and deco.
8 Biosynthesis of Sele.
W Exercises.docx B104-1
Open with ▼
Exercises related to rate law
1. The reaction A(g) → B(g) + C(g) is known to be first order in A(g). It takes 25 s for the
concentration of A(g) to decrease by one-half of its initial value. How long does it take for
the concentration of A(g) to decrease to one-fourth of its initial value? to one-eighth of its
initial value?
2. A reaction of the form aA > Products is second-order with a rate constant of 0.225 L/(mol-s). If the
initial concentration of A is 0.293 mol/L, what is the molar concentration of A after 35.4 s?
3. A reaction of the form aA → Products is second order with a rate constant of 0.169 L/(mol-s). If the
initial concentration of A is 0.159 mol/L, how many seconds would it take for the concentration of A to
decrease to 6.07 x 10° mol/L?
4. Ethyl chloride, CH3CH2CI, used to produce tetraethyllead gasoline additive, decomposes, when
heated, to give ethylene and hydrogen chloride.
CH3CH2CI(g) → C2H4(g) + HCI(g)
The reaction is first order. In an experiment, the initial concentration of ethyl chloride was 0.00100 M.
After heating at 500°C for 155 s, this was reduced to 0.00067 M. What was the concentration of ethyl
chloride after a total of 256 s?
5. Cyclobutane, C4H8, consisting of molecules in which four carbon atoms form a ring, decomposes,
when heated, to give ethylene.
CAH8(g) → 2C2H4(g)
The reaction is first order. In an experiment, the initial concentration of cyclobutane was 0.00150 M.
After heating at 450°C for 455 s, this was reduced to 0.00119 M. What was the concentration of
cyclobutane after a total of 750 s?
6. Methyl isocyanide, CH3NC, isomerizes, when heated, to give acetonitrile (methyl cyanide), CH3CN.
CH3NC(g) > CH3CN(g)
The reaction is first order. At 230°C, the rate constant for the isomerization is 6.3 x 10/s. What is the
half-life? How long would it take for the concentration of CH3NC to decrease to 50.0% of its initial
value? to 25.0% of its initial value?
7. Dinitrogen pentoxide, N2O5, decomposes when heated in carbon tetrachloride solvent.
N2O5 > 2NO2 + ½O2(g)
If the rate constant for the decomposition of N2O5 is 6.2 x 10/min, what is the half-life? (The rate law is
first order in N2O5.) How long would it take for the concentration of N2O5 to decrease to 25% of its
initial value? to 12.5% of its initial value?
Page
1 | 1
...
Transcribed Image Text:New Tab A Autumn-2020-BCB104-1 1 b Enter your payment details | bart x & Half-life and carbon dating (videc x + i classroom.google.com/u/1/c/MJAZMD91NZAZNTYX E Apps O (63) YouTube 9 * Google Translate T TorrentBD : Home A Classes L My Drive - Google... E Google Docs Quran.com voot Bigg Boss Season 1.. E Synthesis and deco. 8 Biosynthesis of Sele. W Exercises.docx B104-1 Open with ▼ Exercises related to rate law 1. The reaction A(g) → B(g) + C(g) is known to be first order in A(g). It takes 25 s for the concentration of A(g) to decrease by one-half of its initial value. How long does it take for the concentration of A(g) to decrease to one-fourth of its initial value? to one-eighth of its initial value? 2. A reaction of the form aA > Products is second-order with a rate constant of 0.225 L/(mol-s). If the initial concentration of A is 0.293 mol/L, what is the molar concentration of A after 35.4 s? 3. A reaction of the form aA → Products is second order with a rate constant of 0.169 L/(mol-s). If the initial concentration of A is 0.159 mol/L, how many seconds would it take for the concentration of A to decrease to 6.07 x 10° mol/L? 4. Ethyl chloride, CH3CH2CI, used to produce tetraethyllead gasoline additive, decomposes, when heated, to give ethylene and hydrogen chloride. CH3CH2CI(g) → C2H4(g) + HCI(g) The reaction is first order. In an experiment, the initial concentration of ethyl chloride was 0.00100 M. After heating at 500°C for 155 s, this was reduced to 0.00067 M. What was the concentration of ethyl chloride after a total of 256 s? 5. Cyclobutane, C4H8, consisting of molecules in which four carbon atoms form a ring, decomposes, when heated, to give ethylene. CAH8(g) → 2C2H4(g) The reaction is first order. In an experiment, the initial concentration of cyclobutane was 0.00150 M. After heating at 450°C for 455 s, this was reduced to 0.00119 M. What was the concentration of cyclobutane after a total of 750 s? 6. Methyl isocyanide, CH3NC, isomerizes, when heated, to give acetonitrile (methyl cyanide), CH3CN. CH3NC(g) > CH3CN(g) The reaction is first order. At 230°C, the rate constant for the isomerization is 6.3 x 10/s. What is the half-life? How long would it take for the concentration of CH3NC to decrease to 50.0% of its initial value? to 25.0% of its initial value? 7. Dinitrogen pentoxide, N2O5, decomposes when heated in carbon tetrachloride solvent. N2O5 > 2NO2 + ½O2(g) If the rate constant for the decomposition of N2O5 is 6.2 x 10/min, what is the half-life? (The rate law is first order in N2O5.) How long would it take for the concentration of N2O5 to decrease to 25% of its initial value? to 12.5% of its initial value? Page 1 | 1 ...
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