Problems |
29.1)
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The rate constants for the decomposition of acetaldehyde are 0.343 M-1 s -1 and 0.789 M -1 s -1 at 70 K |
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and 81 K respectively. Find the preexponential factor and the activation energy. |
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29.2) |
Using the following information, find Ea and A ( in M -1 s -1 where M = mol / lit) |
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T in K |
300 |
350 |
400 |
450 |
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k /(10 7 M –1 s –1) |
0.79 |
3.0 |
8.0 |
17 |
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|
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At what temperature is the rate constant at 300 K doubled? |
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| 29.3) |
The rate constant for a first order reaction is 4.53 * 10 8 and 5.93 * 10 9 s -1 at 363 K and 383 K |
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respectively. Find Ea and A (now in s -1). |
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| 29.4)
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Bromination of propanone in acidic medium gave the following data. Find A and Ea. |
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|
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T / K |
293 |
297 |
300 |
302 |
k(10 – 6 M –1 s –1) |
1.16 |
2.02 |
5.59 |
8.60 |
|
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| 29.5) |
For the Maxwell - Boltzmann distribution of molecular speeds, at what speed is F( ) maximum? |
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| 29.6) |
At T = 300 K, for what ( = max) is F ( ) maximum? What should be the increase in T so that the |
| new F (max) ( at the higher T) has half the value of F (max) at 300 K? |
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| 29.7) |
The ground state of Na is a doublet (two states with the same energy). Assuming this to be the zero of |
| energy and assuming that the next higher energy to be 2 e V higher than this state, calculate q e. |
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| 29.8) |
The bond length e of O2 is 1.2
 . The moment of inertia I is m r 2e / 2 where m of O is 16 * 1.66 * 10 -27 |
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kg. Calculate B and the rotational partition function at 300 K. |
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| 29.9) |
The vibrational frequency of ICl is 384 cm -1 . What is its vibrational partition function at 300 K ? What is |
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the fraction of molecules in the ground state ( = 0) and the first excited state = 1? |
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| 29.10) |
Calculate the translational partition function of N2 at 300 K. For volume, use the molar volume at 300 K. |
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