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{:("Column 1","Column 2"),((A) "Temperat...

`{:("Column 1","Column 2"),((A) "Temperature of a system always decreases",(p)CH_(2)=CH-CH=CH_(2)),((B)((dE)/(dV))_(T)=0,(q)"internal energy increases"),(( C)"Temperature of the system increases",( r)"Ideal gas"),((D)DeltaH_("Hydrogenation experimental") lt DeltaH_("hydrogenation calculated",(s)"Adiabatic expansion"),(,(t)"Benzene")):}`

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To solve the matching question between Column 1 and Column 2, we will analyze each statement in Column 1 and find the corresponding statement in Column 2. ### Step-by-Step Solution: 1. **Statement A: "Temperature of a system always decreases"** - This statement is true for an adiabatic expansion. In an adiabatic process, there is no heat exchange with the surroundings (Q = 0). When work is done on the system, the internal energy decreases, leading to a decrease in temperature. - **Match:** A → (s) "Adiabatic expansion" ...
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{:(,"Column - I",,"Column - II"),((A),"Coordination number",(p),"FCC"),((B),"9 places of symmetry.",(q),"Line passing through centres of two diagonal opposite edges"),((C ),"2 fold axis of symmetry",(r ),"Decrease with increase in temperature"),((D),"Coordination number = 12",(s),"SCC"):}

{:("column"-1,"Column"-2),((A)(DeltaG_("system"))_(T.P) = 0,(p) "Process is in equilibrium"),((B)DeltaS_("system")+DeltaS_("surrounding") gt 0, (q)"Process is nonspontaneous"),((C)DeltaS_("system") +DeltaS_("surroumding") lt 0 , (r) "Process is spontaneous"),((D)(DeltaG_("system"))_(T.P) gt 0,(s)"System is unable to do useful work"):}

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{:(,"Column I",,"Column 2",,"Column 3",),(,"Enthalpy and",,"Entropy change",,"Entropy change of",),(,"internal energy change",,"of the system",,"the surroundings",),((I),DeltaH=0,(i),(DeltaH)/(T),(P),-(DeltaH)/(T),),((II),DeltaU=0,(ii),0,(Q),0,),((III),DeltaH=+ve,(iii),+ve,(R),+ve,),((IV),DeltaH=-ve,(iv),-ve,(S),-ve,):} The only incorrect combination for P_(4) ("red") rarr P_(4) ("black") which is a reversible phase transition at constant temperature and pressure.

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