Two thermally insulated vessels 1 and 2 are filled with air at temperatures $$({{T}_{1}},\,\,{{T}_{2}}),$$ volume $$({{V}_{1}},\,\,{{V}_{2}})$$ and pressure $$({{P}_{1}},\,\,{{P}_{2}})$$ respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

Question

TuteeHUB · Accepted Answer

$$\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}$$

TuteeHUB · Answer

$${{T}_{1}}+{{T}_{2}}$$

TuteeHUB · Answer

$$({{T}_{1}}+{{T}_{2}})/2$$

TuteeHUB · Answer

$$\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{2}}+{{P}_{2}}{{V}_{2}}{{T}_{1}}}$$

1.	Two thermally insulated vessels 1 and 2 are filled with air at temperatures \[({{T}_{1}},\,\,{{T}_{2}}),\] volume \[({{V}_{1}},\,\,{{V}_{2}})\] and pressure \[({{P}_{1}},\,\,{{P}_{2}})\] respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be
A.	\[{{T}_{1}}+{{T}_{2}}\]
B.	\[({{T}_{1}}+{{T}_{2}})/2\]
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.	\[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\]
Answer» D. \[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\]

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