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A container of volume 2L is seperated in...

A container of volume 2L is seperated into equal compartments. In one compartment, one mole of an ideal monoatomic gas is filled at 1 bar pressure and the other compartment is completely evacuted. A pihole is made in the seperator so gas expands to occupy full 2 L and heat is supplied to gas so that finally pressure of gas equals 1 bar. Then :

A

`Delta U=Delta H= 150 J`

B

`Delta H= 250 J`

C

`Delta U= 100 J`

D

`Delta U=Delta H=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Final temperature of gas must be double of the intial temperature
`Delta H= Delta U+Delta(PV)=nC_(v)DeltaT+Delta(PV) DeltaT=T_(f)-T_(i)=2T_(i)`
`=(nR)/((gamma-1))T_(i)+ Delta (PV)=(3)/(2)xx100+100=250J`
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RESONANCE-THERMODYNAMICS-Exercise -1 Part -II Only option correct type
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