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a fixed amount of dry air at temperature of 27degree celsius is compressed to 1/9 of its original volume.its final temperature is?(gamma=1.5) a.627degree celsius b.600degree celsius c.158 degree celius d.527 degree celsius plz explain with solution

Answer»

t dry AIR as an ideal gas.Volume = V1          T1 = 300 Kelvin        Pressure = P1V2 = V1 / 9              γ = ratio of specific heats = 1.5      T2 = ?    P2 = ?number of moles  n is fixed.     P1 V1 / T1  = P2 V2 / T2     P1 V1 / 300 =  P2 (V1 /9) / T2      =>     T2 =  33.33  P2 / P1   Is the gas compressed adiabatically and/or SUDDENLY ? with no energy exchanged between the SYSTEM and the environment ?  It has to be mentioned whether it  was an ISOBARIC compression or adiabatic compression.  Otherwise the final pressure is to be mentioned.   T2 = 300 * √9 = 900⁰K  = 627⁰ C



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