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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Kinetic Theory of Gases

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