Two thermally insulated vessels $$1$$ and $$2$$ are filled with air at temperature (T1$$, $$T2), volume (V1$$, $$V2) and pressure (P1$$, $$P2) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

Correct option is 3T1T2P1V1+P2V2/P1V1T2+P2V2T1

Questions

Two thermally insulated vessels 1 and 2 are filled with air at temperature (T₁, T₂), volume (V₁, V₂) and pressure (P₁, P₂) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

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T1+T2

T1T2P1V1+P2V2/P1V1T1+P2V2T2

T1T2P1V1+P2V2/P1V1T2+P2V2T1

T1+T2/2

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detailed solution

Correct option is C

n=PVRT= Const

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Two thermally insulated vessels 1 and 2 are filled with air at temperature (T1, T2), volume (V1, V2) and pressure (P1, P2) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

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Two thermally insulated vessels 1 and 2 are filled with air at temperature (T₁, T₂), volume (V₁, V₂) and pressure (P₁, P₂) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be