Two thermally insulated vessels 1 and 2 are filled with air at temperature (T 1 , T 2 )…

Physics · NEET · NTA ExamsKINETIC THEORY OF GASES

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 vessel is opened, the temperature inside the vessel at equilibrium will be
  1. \(T_{1}+T_{2}\)
  2. \(\frac{\left[T_{1}+T_{2}\right]}{2}\)
  3. \(\frac{T_{1} T_{2}\left[P_{1} V_{1}+P_{2} V_{2}\right]}{\left[P_{1} V_{1} T_{2}+P_{2} V_{2} T_{1}\right]}\)
  4. \(\frac{T_{1} T_{2}\left[P_{1} V_{1}+P_{2} V_{2}\right]}{\left[P_{1} V_{1} T_{1}+P_{2} V_{2} T_{2}\right]}\)

Answer

(C) T_ 1 T_ 2 [P_ 1 V_ 1 +P_ 2 V_ 2 ] [P_ 1 V_ 1 T_ 2 +P_ 2 V_ 2 T_ 1 ]

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