Internal energy equals to average kinectic energy ?

[Outrageous]

For ideal gas , can I assume Cv dT = nkT (3/2)
, thank you

 

[Andrew Mason]

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:

$\int_{Ti}^{Tf} nC_vdT = \frac{3}{2}nR(T_f - T_i) = \frac{3}{2}nR\Delta T = \frac{3}{2}Nk\Delta T$
AM

 

[Outrageous]

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:

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



AM

Thanks for compact explanation.