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The following graphs display a Boltzmann Distribution where the y-axis resprents

ID: 1545978 • Letter: T

Question

The following graphs display a Boltzmann Distribution where the y-axis resprents probability and the x-axis represnts energy. The question is asking which graph displays curve of increasing temperature where Ta > Tb > Tc. Ignore the bar graphs covering graphs 2 and 4. Why is graph 3 the correct one, and why is graph 1 incorrect?

On of the sets of graphs shows the probability that a DoF will gain an energy delta E from its interaction with three different thermal baths: T_A > T_B > T_C. Which?

Explanation / Answer

According to Boltzman distribution :

We have fiction of energy as:

f(E)= 2(E/)1/2 (1/kT)3/2 exp(-E/kT)

As y axis represents probability

n(E)= noe-E/kT

Average speed increases with increasing temperature also peak of curve shifts to right if T increases .

Hence curve point downwards according to temperature TA>TB>TC so graph 3 is correct one

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