A) \[{{T}_{1}}+{{T}_{2}}\]
B) \[\frac{({{T}_{1}}+{{T}_{2}})}{2}\]
C) \[\frac{{{T}_{1}}{{T}_{2}}({{p}_{1}}{{V}_{1}}+{{p}_{2}}{{V}_{2}})}{{{p}_{1}}{{V}_{1}}{{T}_{2}}+{{p}_{2}}{{V}_{2}}{{T}_{1}}}\]
D) \[\frac{{{T}_{1}}{{T}_{2}}({{p}_{1}}{{V}_{1}}+{{p}_{2}}{{V}_{2}})}{{{p}_{1}}{{V}_{1}}{{T}_{1}}+{{p}_{2}}{{V}_{2}}{{T}_{2}}}\]
Correct Answer: C
Solution :
[c] |
From ideal gas equation, |
(as P and T will become same) |
(moles of gas remain same) |
..(i) |
Internal energy of the system (air in two vessels) remains same, before and after opening of valve, so |
where, f is degree of freedom of gas molecules |
From Eq. (i) we can find the equilibrium pressure also. |
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