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  • Three different processes that can occur in an ideal monocromatic gas are shown in the  diagram.The paths are labelled as <img alt="A\right

Three different processes that can occur in an ideal monocromatic gas are shown in the P\; vs\; V diagram.The paths are labelled as A\rightarrow B,A\rightarrow C and A\rightarrow D. The change in internal energies during these process are taken as E_{AB},E_{AC} and E_{AD} and the workdone as W_{AB},\; W_{AC} and W_{AD}. The correct relation between these parameters are :
Option: 1 E_{AB}=E_{AC}< E_{AD},\; W_{AB}> 0,\; W_{AC}=0,\; W_{AD}< 0  
Option: 2 E_{AB}=E_{AC}= E_{AD},\; W_{AB}> 0,\; W_{AC}=0,\; W_{AD}< 0
Option: 3 E_{AB}< E_{AC}< E_{AD},\; W_{AB}> 0,\; W_{AC}> W_{AD}
Option: 4 E_{AB}> E_{AC}> E_{AD},\; W_{AB}< W_{AC}< W_{AD}

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\begin{array}{l} \Delta \mathrm{U}=\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T}=\text { same } \\ \mathrm{AB} \rightarrow \text { volume is increasing } \Rightarrow \mathrm{W}>0 \\ \mathrm{AD} \rightarrow \text { volume is decreasing } \Rightarrow \mathrm{W}<0 \\ \mathrm{AC} \rightarrow \text { volume is constant } \Rightarrow \mathrm{W}=0 \end{array}

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Deependra Verma

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