diatomic hydrogen molecule

2012-11-15 6:00 am
The rms (root-mean-square) speed of a diatomic hydrogen molecule
at 50 degree celsius is 2000 m/s . Note that 1.0 mol of diatomic
hydrogen at 50 degree celsius
has a total
translational kinetic energy of 4000J .

1. Diatomic oxygen has a molar mass 16 times that of diatomic
hydrogen. The root-mean-square speed for diatomic oxygen at 50
degree celsius is: (choose one)

A. 16 x 2000 m/s = 32000 m/s
B. 4 x 2000 m/s = 8000m/s
C. 2000m/s
D. (1/4) x 2000 m/s = 500 m/s
E. (1/16) x 2000m/s = 125 m/s
F. None of the above

2. The total translational kinetic energy of 1.0 mole of diatomic
oxygen at
50 degree celsius is:

Choose the correct total translational kinetic energy.

A. 16 x 4000J = 64000J
B. 4 x 4000J = 16000J
C. 4000J
D. (1/4) x 4000J = 1000J
E. (1/16) x 4000J = 150J
F. None of the above

3. The temperature of the diatomic hydrogen gas sample is increased to
100 degree celsius. The root-mean-square speed for diatomic
hydrogen at 100 degree celsius is:

A. 2 x 2000 m/s = 4000 m/s
B. (square root 2) x 2000 m/s =2800 m/s
C. 2000 m/s
D. (1/(square root 2)) x 2000 = 1400 m/s
E. (1/2) x 2000 m/s =1000 m/s
F. none of the above

回答 (1)

2012-11-15 7:32 am
✔ 最佳答案
1. At the same temperature, the translational kinetic energy of a molecule of hydrogen and oxygen are the same.
Hnece, rms speed of oxygen = 2000/square-root(16) m/s = 2000/4 m/s = 500 m/s

2. Option C
Translational kinetic energy depends only on temperature.

3. rms speed is proportional to the square-root of the absolute temperature.
hence, speed of hydrogen at 100'C
= 2000 x square-root[473/323] ms/ = 2928 m/s
Option F is the answer.


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