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 methanemolecule= 5. 27 × 10-47 kg m²To find:the minimum energy needed to start it rotating.Solution:The energy levels derived for the rotation in threedimension are1(1+1)h²E =21Where l. = 0, 1,2The minimum energy (E1) to start rotation is theminimum excitation energy. The energy to takefrom motionless is l = 0 and to rotating is l = 1 tostart, ThereforeIx2x(1.0546x10s)²E =2×(5.27x10 "kgm²)= 2.21 x 10-22 J

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

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter13: Introduction To Symmetry In Quantum Mechanics

Section: Chapter Questions

Problem 13.11E

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Question

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

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