Concrete Allure Thermodynamic Processes for an Ideal Gas

 14 July 12:38   

    =frac ;

    |-

    | Work

    eginw=-int_^ PdV end

    | align=center | -Pleft ( V_2-V_1
ight );

    | align=center | 0;

    | align=center | -nRTlnfrac;

    | align=center | C_vleft ( T_2-T_1
ight );

    |-

    | Calefaction Capacity, C;

    | align=center | C_p = (5/2)nR;

    | align=center | C_v = (3/2)nR ;

    | align=center | C_p; or C_v;

    | align=center | C_p; or C_v;

    |-

    | Centralized Energy, Delta U = 3/2 | align=center | q+w;

    q_p+PDelta V;

    | align=center | q;

    w=0;

    C_vleft ( T_2-T_1
ight );

    | align=center | 0;

    q=-w;

    | align=center | w;

    q=0;

    C_vleft ( T_2-T_1
ight );

    |-

    | Enthalpy, Delta H;

    H=U+PV;

    | align=center | C_pleft ( T_2-T_1
ight );

    | align=center | q_v+VDelta P;

    | align=center | 0;

    | align=center | 0;

    |-

    | Entropy

    eginDelta S=-int_^ frac dT end

    | align=center | C_plnfrac;

    | align=center | C_vlnfrac;

    | align=center | nRlnfrac;

    | align=center | 0;

    |}

    ^Table create by a analysis apprentice in CHEM382 (Physical Allure II) at the U. of Cincinnati (circa 2006)

    We are accustomed that the molar Gibbs chargeless activity of an ideal is ar G = ar G^circ+RT lnfrac;. Lets try and acquire ar U=ar U^circ=ar H^circ-RT;; acquainted that ar U^circ=ar G^circ+Tar S^circ-RT; and bold that the centralized activity U; and enthalpy H; of an ideal gas are absolute of burden and volume.

    

 


Tags: energy, ideal, processes, center, align

 center, align, ight, ideal, energy, vleft, chemistry, physical, , align center, ideal gas, physical chemistry, ar u^circ ar, end| align center, chemistry thermodynamic processes, physical chemistry thermodynamic,

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Article In : Reference & Education  -  Chemistry