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Two thermally insulated vessel 1 and 2 a...

Two thermally insulated vessel 1 and 2 are filled with air at temperature `(T_1T_2), volume (V_1V_2)` and pressure `(P_1P_2)` respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

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number of mole`=` Constant
`mu_(1)+mu_(2)=mu`
`(P_(1)V_(1))/(RT_(1))+(P_(2)V_(2))/(RT_(2))=(P(V_(1)+V_(2)))/(RT)`
From Boyle's law, `P(V_(1)+V_(2))=P_(1)V_(1)+P_(2)V_(2)`
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