Two different ideal diatomic gases A and B are initially in the same state. A and B are then expanded to same final volume through adiabatic and isothermal process respectively. If PA, PB and TA, TB represents the final pressure and temperatures of A and B respectively then

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PA< PBandTA< TB

PA> PBandTA> TB

PA> PBandTA< TB

PA < PB and TA > TB

answer is A.

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Detailed Solution

For adiabatic process PV1γ=PAV2γ ⇒PA=PV1V2γ. For isothermal process PB=PV1V2. From (i) and (ii), PA< PB and by PV = nRT , TA< TB

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