calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2

The moment of inertia of the methane
molecule= 5. 27 × 10-47 kg m²
To find:
the minimum energy needed to start it rotating.
Solution:
The energy levels derived for the rotation in three
dimension are
1(1+1)h²
E =
21
Where l. = 0, 1,2
The minimum energy (E1) to start rotation is the
minimum excitation energy. The energy to take
from motionless is l = 0 and to rotating is l = 1 to
start, Therefore
Ix2x(1.0546x10s)²
E =
2×(5.27x10 "kgm²)
= 2.21 x 10-22 J
Transcribed Image Text:The moment of inertia of the methane molecule= 5. 27 × 10-47 kg m² To find: the minimum energy needed to start it rotating. Solution: The energy levels derived for the rotation in three dimension are 1(1+1)h² E = 21 Where l. = 0, 1,2 The minimum energy (E1) to start rotation is the minimum excitation energy. The energy to take from motionless is l = 0 and to rotating is l = 1 to start, Therefore Ix2x(1.0546x10s)² E = 2×(5.27x10 "kgm²) = 2.21 x 10-22 J
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