Consider a closed ( total energy is constant ) system with four atoms, each having only two allowed energy levels Three atoms are identical, having energy levels of E 0 and E E 0 ( these are atoms 1 , 2 , and 3 ) The fourth atom, atom A , has energy levels of E 0 and E 2 E 0 Suppose that the system has a total energy of 2 E o a How many microstates, i e how many different configurations, are there when atom A is in the excited state ) ( 2 E 0 b How many microstates are there atom A is in the ground state ) ( 0 c What is more likely to be observed, that atom A will be in the E 0 level or the E 2 E 0 level How much more likely, i e what is the probability Explain your answer d How would your answer to part c change if the system had a total energy of 3 E 0 e A different system consisting only of many atoms identical to atom 1 from above is placed in a container held at room temperature ( 3 0 0 K ) Assume that E 0 is 4 1 0 2 1 J What fraction of the atoms will be in the excited state

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Question: Consider a closed ( total energy is constant ) system with four atoms, each having only two allowed energy levels. Three atoms are identical, having

Consider a closed

(

total energy is constant

)

system with four atoms, each having only two allowed energy levels. Three atoms are identical, having energy levels of

E = 0

and

E = E_{0} (

these are atoms

1, 2,

and

3) .

The fourth atom, atom

A,

has energy levels of

E = 0

and

E = 2 E_{0} .

Suppose that the system has a total energy of

2 E_{o} .

.

How many microstates, i

.

.

how many different configurations, are there when atom A is in the excited state

) = (2 E_{0} ?

.

How many microstates are there atom

A

is in the ground state

) = (0 ?

.

What is more likely to be observed, that atom A will be in the

E = 0

level or the

E = 2 E_{0}

level? How much more likely, i

.

.

what is the probability? Explain your answer.

.

How would your answer to part c change if the system had a total energy of

3

0 ?

.

A different system consisting only of many atoms identical to atom

1

from above is placed in a container held at room temperature

(300

) .

Assume that

E_{0}

4 10^{- 21} J .

What fraction of the atoms will be in the excited state?

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