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Internal energy equals to average kinectic energy ?

 
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Dec27-12, 11:09 PM   #1
 

Internal energy equals to average kinectic energy ?


For ideal gas , can I assume Cv dT = nkT (3/2)
, thank you
 
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Dec28-12, 12:47 PM   #2
 
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Quote by Outrageous View Post
For ideal gas , can I assume Cv dT = nkT (3/2)
, thank you
No. Molar heat capacity, Cv = 3R/2 only for ideal monatomic gases. You are also mixing temperature change with temperature here.

Using molar heat capacity 3R/2 for a monatomic ideal gas:

[itex]\int_{Ti}^{Tf} nC_vdT = \frac{3}{2}nR(T_f - T_i) = \frac{3}{2}nR\Delta T = \frac{3}{2}Nk\Delta T[/itex]



AM
 
Dec29-12, 03:41 AM   #3
 
Quote by Andrew Mason View Post
No. Molar heat capacity, Cv = 3R/2 only for ideal monatomic gases. You are also mixing temperature change with temperature here.

Using molar heat capacity 3R/2 for a monatomic ideal gas:

[itex]\int_{Ti}^{Tf} nC_vdT = \frac{3}{2}nR(T_f - T_i) = \frac{3}{2}nR\Delta T = \frac{3}{2}Nk\Delta T[/itex]



AM
Thanks for compact explanation.
 
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