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Heat and Thermodynamics question

2004 · Shift 0 · Q173
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Heat and Thermodynamics question

2004 · Shift 0 · Q173

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1
Two thermally insulated vessels 111 and 222 are filled with air at temperatures (T1,T2),\left( {{T_1},{T_2}} \right),(T1​,T2​), volume (V1,V2)\left( {{V_1},{V_2}} \right)(V1​,V2​) and pressure (P1,P2)\left( {{P_1},{P_2}} \right)(P1​,P2​) respectively. If the value joining the two vessels is opened, the temperature inside the vessel at equilibrium will be
  1. A
    T1T2(P1V1+P2V2)/(P1V1T2+P2V2T1){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)T1​T2​(P1​V1​+P2​V2​)/(P1​V1​T2​+P2​V2​T1​)
  2. B
    (T1+T2)/2\left( {{T_1} + {T_2}} \right)/2(T1​+T2​)/2
  3. C
    T1+T2{{T_1} + {T_2}}T1​+T2​
  4. D
    T1T2(P1V1+P2V2)/(P1V1T1+P2V2T2){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)T1​T2​(P1​V1​+P2​V2​)/(P1​V1​T1​+P2​V2​T2​)
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