For the chemical equilibrium,CaCO3(s)  ⇌   CaO(s)  +  CO2(g),  ∆Hr0  can be determined from which one of the following plots

For the chemical equilibrium,

CaCO3(s)     CaO(s)  +  CO2(g),  Hr0  can be determined from which one of the following plots

  1. A

     

     

  2. B

     

     

  3. C

     

     

  4. D

     

     

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    Solution:

    For the reaction,

    CaCO3(g)     CaO(s)  +  CO2(g)

    KP=PCO2 and KC= CO2

       CaCO3 = 1  and  CaO = 1 for solids

    According to Arrhenius equation we have

    K = Ae-H0r/RT

    Taking logarithm, we have

    log  KP= log A - Hr0RT 2.303

    This is an equation of straight line. When log KP is plotted against 1/T. we get a straight line.

     

     

    The intercept of this line = log A, slope = -Hr0/2.303 R

    Knowing the value of slope from the plot and universal gas constant R, Hr0 can be calculated.

    Equation of straight line : Y = mx + C. Here,

    log  KP=  - Hr0 2.303 1T  + log A

        Y                     m         x            C

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