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The variation of internal energy U and density d of one mole of an ideal monatomic gas is shown inn cyclic process ABCA. The curve from A to B is a rectangular hyperbola. Select correct alternatives.A. The work done by gas in process `AB` is `2U_(0)`B. The work done by gas in process BC is `-(3U_(0))/(2)ln2`C. The molar heat capacity of gas for process CA is `(3R)/(2)`D. The molar heat capacity of gas for process AB is `(3R)/(2)` |
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Answer» Correct Answer - A::C `PM=dRT` in `ABdprop(1)/(T)` therefore it is an isoberic process. `W_(AR)=nRDeltaT=R(4T_(0)-T_(0))` `U_(0)=(3)/(2)RT_(0)` `W_(AB)=2U_(0)` In process BC (isothermal) `W_(BC)=-nR(4T_(0))ln((4d_(0))/(d_(0)))=-8RT_(0)ln2` `=-(16)/(3)U_(0)ln2` Process CA is isochoric while AB is isobaric |
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