A) \[\frac{{{T}_{1}}+{{T}_{2}}}{2}\]
B) \[\frac{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}}{{{n}_{1}}+{{n}_{2}}}\]
C) \[\frac{{{n}_{1}}{{T}_{2}}+{{n}_{2}}{{T}_{1}}}{{{n}_{1}}+{{n}_{2}}}\]
D) \[\sqrt{{{T}_{1}}{{T}_{2}}/{{n}_{1}}{{n}_{2}}}\]
Correct Answer: B
Solution :
We know \[E=\frac{3}{2}nkT\]k = Boltzmams constant \[\therefore \] \[\frac{3}{2}{{n}_{1}}k{{T}_{1}}+\frac{3}{2}{{n}_{2}}k{{T}_{2}}=\frac{3}{2}({{n}_{1}}+{{n}_{2}})kT\] \[T=\frac{{{n}_{1}}{{T}_{1}}+{{n}_{2}}{{T}_{2}}}{({{n}_{1}}+{{n}_{2}})}\]You need to login to perform this action.
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