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Match Column - I with Column-II: {:(,"...

Match Column - I with Column-II:
`{:(,"Column-I(Ideal Gas)" , "Column-II(Related equation)",),(("A"),"Reversible isothermal process",("P")"W = 2.303nRT log"(P_(2)//P_(1)),),(("B"),"Reversible adiabatic process ",("Q")W=nC_(V_(m))(T_(2)-T_(1)),),(("C"),"Irreversible adiabatic process",("R")"W = -2.303nRT log"(V_(2)//V_(1)) ,),(("D"),"Irreversible isothermal process ",("S")W = - int_(V_(i))^(V_(f)) P_("ext.)dV,) :}`

Text Solution

Verified by Experts

The correct Answer is:
(A) P,R,S (B) Q,S (C) Q,S (D) S
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Explore conceptually related problems

{:("Column-I","Column-II"),((A)"Reversible isothermal expansion of an ideal gas",(p)w= -2.303 nRT log (V_2/V_1)),((B)"Reversible adiabatic compression of an ideal gas",(q)PV^(gamma)="constant"),((C )"Irreversible adiabatic expansion of an ideal gas",(r)w= (nR)/((gamma-1))(T_2-T_1)),((D)"Irreversible isothermal compression of an ideal gas",(s)DeltaH=0):}

{:(,"Column-I",,"Column-II"),((a),"Reversible isothermal expansion of an ideal gas",(p),w=2.330"nRTlog"((V_(2))/V_(1))),((b),"Reversible adiabatic compression of an ideal gas",(q),PV'"cosntant"),((c),"Irrevesible adiabatic expansion of anideal gas",(r),w = (nR)/((gamma-1)) (T_(2) - T_(1))),((d),"Irrevesiable isothermal compression of an ideal gas",(s),DeltaH = 0):}

Knowledge Check

  • Match the column :- {:(,"Column - I",,"Column - II",),(A,"Adiabatic process",P,q=0,),(B,"Isothermal process",Q,DeltaH=0,),(C,"Isoenthalpic process",R,DeltaT=0,),(D,"Isoentropic process",S,DeltaS=0,):}

    A
    `AtoP,BtoS,CtoQ,DtoR`
    B
    `AtoQ,BtoP,CtoS,DtoR`
    C
    `AtoP,BtoR,CtoQ,DtoS`
    D
    `AtoP,BtoR,CtoS,DtoQ`
  • The ratio of slopes of P-V plots for reversible adiabatic process and reversible isothermal process of an ideal gas is equal to :

    A
    `gamma`
    B
    `1-gamma`
    C
    `gamma-1`
    D
    `1/(gamma)`
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    Match the column-1 {:(,"Column I",,"Column II"),((A),DeltaS="n"C_(v)l"n"(T_(2))/(T_(1)),(P),DeltaS_("sys")" for an irreversible isochoric process"),((B),DeltaS=-(DeltaU_("sys"))/(T),(Q),|DeltaS|_("surr")" for a reversible isochroric process"),((C),DeltaS=nC_(v)l"n"(T_(2))/(T_(1))+nRl"n"(V_(2))/(V_(1)),(R),DeltaS_("surr")" for a reversible isochoric process"),(,,(S),DeltaS_("sys")" for a reversible process"):}

    Match the process given in Column - I with the entropy change in Column - II {: ( "Column I", " Column II"),( "(a)Reversible adiabatic ideal gas compression.", " (p)"DeltaS_("surr") = 0 ) , ("(b)Reversible isothermal ideal gas expansion." , "(q)" DeltaS_("system") = 0),(" (c)Adiabatic free expansion " (p_(ext) = 0)" of an ideal gas" , "(r)" DeltaS_("surr") gt 0 ) , ( "(d)Irreversible isothermal ideal gas compression." , " (s)" DeltaS_("surr") lt 0 ):}

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    For one mole of a monoatomic gas :- {:(,"Column-I",,"Column-II"),((A),"Isothermal bulk modulus, ",(p),-(RT)/(V^(2))),((B),"Adiabatic bulk modulus ",(q),-(5P)/(3V)),((C),"Slope of P-V graph in isothermal process " ,(r),"T/V"), ((D), "Slope of P-V graph in adiabatic process",(s),"4T/3V"),(,,(t),"None"):}

    Match the entries listed in Column I with appropriate entries listed in Column II. {:(,"Column I",,"Column II"),((A),"Isothermal process",(p),((delU)/(delV))_(T)=0),((B),-nFoverset(Theta)E,(q),W=-DeltaU),((C),"Adiabatic reaction",(r),DeltaU=0),((D),"van der waals gas",(s),DeltaG^(Theta)),((E),"Ideal gas",(t),((delT)/(delP))_(H)ne0):}

    For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is q_(rev) , for path (B +C) ?