The first allowed excited state of a hydrogen atom is 10.2 eV above its lowest energy (ground) state. To what temperature should hydrogen gas be raised so that inelastic collisions may excite an appreciable number of atoms to their first excited state.

Cindy Hubbard

Cindy Hubbard

Answered question

2023-02-15

The first allowed excited state of a hydrogen atom is 10.2 eV above its lowest energy (ground) state. To what temperature should hydrogen gas be raised so that inelastic collisions may excite an appreciable number of atoms to their first excited state.
A. 17.88 × 10 4 K
B. 7.88 × 10 4 K
C. 157.88 × 10 4 K
D. 237.88 × 10 4 K

Answer & Explanation

incesounckb1

incesounckb1

Beginner2023-02-16Added 6 answers

The correct answer is B) 7.88 × 10 4 K
Let T be the required temperature.
Average Energy of each atom = 3 2 k T
This must be 10.2 eV.
3 2 k T = 10.2 × 1.6 × 10 19
( Θ 1 e V = 1.6 × 10 19 J )
or T = 2 × 10.2 × 1.6 × 10 19 3 × 1.38 × 10 23 = 7.88 × 10 4 K

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