A cyclindricalcontainer ofvolume44.8 litresis containing equalno.of moles (in integerno. ) of an idealmonoatomicgasin twosections A and B separeted byanadiabaticfrictionless pistonas show in figure The initinaltemperatureand pressureof gasin bothsectionB becomes(1//8)^(th) of initial volume . Given : R = 2 cal //"mole -K", C_(v,m)of monoatmicgas =(3)/(2)R, At1 atm & 0^(@) idealgas occupy22.4 liter.Findtemperaturein containerA will be

A cyclindricalcontainer ofvolume44.8 litresis containing equalno.of mo

1.	A cyclindricalcontainer ofvolume44.8 litresis containing equalno.of moles (in integerno. ) of an idealmonoatomicgasin twosections A and B separeted byanadiabaticfrictionless pistonas show in figure The initinaltemperatureand pressureof gasin bothsectionB becomes(1//8)^(th) of initial volume . Given : R = 2 cal //"mole -K", C_(v,m)of monoatmicgas =(3)/(2)R, At1 atm & 0^(@) idealgas occupy22.4 liter.Findtemperaturein containerA will be
Answer» 1638 K 6988 k 3274K 51 K Solution :Afterheating P inbothcontainer is EQUAL `(P_(1)V_(1))/(T_(1))=(P_(1)V_(1))/(T_(2))` `V_(2)` of container `A = 22.4 +22.4 xx(7)/(8)` `= 42 L` `(1 xx22.4)/(27.3)=(32 xx 42)/(T_(2))` `T_(2)=1638 K`