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A sample of an ideal non linear triatomi...

A sample of an ideal non linear triatomic gas has a pressure `P_(0)` and temperature `T_(0)` taken through the cycle as shown starting from A . Pressure for process `C rarrD` is `3` times `P_(0)`. Calculate heat absorbed in the cycle and work done.

Text Solution

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The correct Answer is:
`31P_(0)V_(0), -5P_(0)V_(0)`
For each state `n = (P_(0)V_(0))/(T_(0)) = (P_(0)(7V_(0)//2))/(T_(B))`
`= (3P_(0)(7V_(0)//2))/(T_(C)) = (3P_(0)V_(0))/(T_(D))`
`implies T_(B) = (7)/(2)T_(0) , T_(C) = (21)/(2)T_(0)`
`therefore` Heat absorbed =`(nC_(P) . DeltaT)_(A rarrB) + (nC_(V)DeltaT)_(B rarrC)`
=`n4R((5)/(2)T_(0)) + n3R(7T_(0)) = 31.nRT_(0) = 31P_(0)V_(0)`
Work done = `(3P_(0) - P_(0))(V_(0) - (7)/(2)V_(0))`
=`-5P_(0)V_(0)`
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