The narrow tube with one of its ends sea...

The narrow tube with one of its ends sealed as shown in the figure, is in a vertical plane. In the 3L long horizontal part of the tube a mercury column of length L blocks some oxygen gas of length L. The outside air - pressure of `p_(0)` equals with the pressure of a mercury column of height L. Increasing the temperature of the surrounding, the volume of the blocked gas doubles while the gas absorbs `Q=7J` of heat from its surroundings. How much work (in Joule) is done by the expanding gas?

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The correct Answer is:

`0002`

`Q=7J`
`DeltaQ=DU+W`
`7=nC_(v)DeltaT+PdV`
`=n5/2RDeltaT+nRDeltaT`
`7=7/2(nRDeltaT) Rightarrow nRDeltaT=2` J

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