Answer to Question 1

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a)   If the temperature is 30 oC, calculate the Boltzmann Factor.

 

Use:

 

Use natural logs:

 

ln (nε /N) = -(6.0 10-21 J (1.38 10-23 J K-1 303 K)) = -1.43

 

nε /N = e-1.43 = 0.24 (2 s.f.)

 

 

Therefore 24 % of the molecules will have this energy.

 

                                

 

b)      The total number of molecules is 10 mol 6.0 1023 mol-1 =  6.0 1024.

 

 

Number of molecules that have energy 6.0 10-21 J = 0.24 6.0 1024 = 1.4 1024