Question

Two states of energy gap 6.9x10-21J have relative
Probability of e2. Calculate the temperature of the complete system.
​

Answer 1

answer

multiply the whole equation by 2 and then decide it

Answer 2

The temperature of the complete system is 250 K .

We know , probability is given as :

$P=Ae^{-{E/kT}$

Let , energy of both state is $E_1\ and\ E_2$  .

So , energy gap is , $E_2-E_1 = 6.9\times 10^{-21}\ J\ .$

Therefore , ratio of probability :

$e^2=e^{(E_2-E_1)/kT}$

Equating power of e .

We get ,

$2=(E_2-E_1)/kT\\\\2kT=E_2-E_1\\\\2\times 1.38\times 10^{-23}\times T=6.9\times 10^{-21}\\\\T=250\ K.$

Hence , this is the required solution .

Learn More :

Energy In Different State .

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