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alexander1990 (0)

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Q. A cylindrical container containing oxygen (¥ = 1.4 ) and closed by a 50 kg piston .The area of crosssection is 100cm2 ,atmospheric pressure is 100 Kpa and  g=10m/s2  , .The cylinder is slowly heated for some time . The amount of heat supplied to the gas if piston moves out through a distance of 20 cm is?










 
 
    
krishna.gopal (2399)

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Initial volume of gas is not given. Moreover the amount of heat supplied will depend on the fact whether process id isothermal or not that is also not given. If it is isothermal then
q=W = nRT*ln(Vfinal/Vinitial)
Where nRT = Pinitial*Vinitial

Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi
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killerkiran (50)

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work done will be equal to the change in potential energy of the piston..from there u can carry on

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savvej (234)

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dq=du+dw---1


at the final and the initial time,v=0 (since sytem is at equliibrium)


.: for the piston=change in KE =0


.:Wgas +Wgr+Watm=0


.:Wgas=Mgx+P0A


on substituting we get Wgas=300


Also,if u write the equllibrium equations of piston at initial and final postions(or by observation),we get


initial pressure=final pressure=>process is isobaric


for isobaric process =dw=nRdT=300


also U=f/2nRT


f=5(.: oxygen diatomic)


.:U=5/2*300=750


from 1 we get ,


Q=300+750=1050J


 


 




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