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Thermal Physics

akshay A NEW BEGINNING...'s Avatar
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Joined: 25 Dec 2007
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28 Dec 2007 21:35:19 IST
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An iit level Q. plss help!!
None

A cylindrical tube with adiabatic walls and fitted with a diathermic
separator. Te separator can be slid in the tube by external mechanism.An ideal
gas is injected in the two sides at equal pressure and equal temperature.The
separator remains in the equilibrium at the middle.It is now slid to a position
where it divides the tube in the ratio 1:3.Find the ratio of pressures in the
two part of the vessel.



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abhishek sinha's Avatar

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Joined: 18 Dec 2007
Posts: 926
28 Dec 2007 21:46:54 IST
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apply pv power gamma = const
 
so , p1 : p2 = 3^ ( gamma ) =6.26
 
                 gamma =  1.67 for monoatomic gas
 
                            
#$nishi$#'s Avatar

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Joined: 26 Dec 2007
Posts: 97
1 Jan 2008 20:31:43 IST
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according to question tube is divided in ratio 1:3,
ratio of volume =1:3
from,
PV=nRT
therefore,P2\P1=V2\V1=3:1
abhishek sinha's Avatar

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Joined: 18 Dec 2007
Posts: 926
1 Jan 2008 20:34:17 IST
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See, the parts are seperated by diatharmic walls ( no heat exchange )
 
So their final temp would not be equal .
 
Hence the method used by u is wrong !!!!!!!!!!!!!



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