What is the value of Kp at 1000C for the followingreaction? CaCO3(s) <--> CaO(s)

Question

What is the value of Kp at 1000C for the followingreaction?
              CaCO3(s) <--> CaO(s)   + CO2(g) H f (kJ/mol) -1206.9 -635.1 -393.5 S (J/K) 92.9 38.2 213.7 Gf (kJ/mol) -1128.8 -603.5 -394.4 please show detailed steps so that I may understand how tocomplete this problem. Thank you very much! What is the value of Kp at 1000C for the followingreaction?
              CaCO3(s) <--> CaO(s)   + CO2(g) H f (kJ/mol) -1206.9 -635.1 -393.5 S (J/K) 92.9 38.2 213.7 Gf (kJ/mol) -1128.8 -603.5 -394.4 please show detailed steps so that I may understand how tocomplete this problem. Thank you very much! CaCO3(s) <--> CaO(s)   + CO2(g) H f (kJ/mol) -1206.9 -635.1 -393.5 S (J/K) 92.9 38.2 213.7 Gf (kJ/mol) -1128.8 -603.5 -394.4

Explanation / Answer

We Know that :       The given Reaction is :          CaCO3 <--------> CaO + CO2         H = H ( products ) - H ( reactants )                 =  [-635.1 + ( -393.5 ) ] KJ  - [ -1206.9 ] KJ                 = 178.3 KJ           S = S ( products ) - S ( reactants )                 = [ 213.7 + 38.2 ] J / K - [ 92.9 ] J/K                   =  159 J / K            G = H - T S                  = 178x 103 J - 298 K x 159 J / K                   =   130618 J       G0 = G products - Greactants                 = -394 + (-603.5) - [ -1128.8 ]                  = 131.3 KJ         G = G0 + RTlnK         131300 J - 130618J = 8.314 J / mol-K x 298K lnK              K = 1.3168         H = H ( products ) - H ( reactants )                 =  [-635.1 + ( -393.5 ) ] KJ  - [ -1206.9 ] KJ                 = 178.3 KJ           S = S ( products ) - S ( reactants )                 = [ 213.7 + 38.2 ] J / K - [ 92.9 ] J/K                   =  159 J / K            G = H - T S                  = 178x 103 J - 298 K x 159 J / K                   =   130618 J       G0 = G products - Greactants                 = -394 + (-603.5) - [ -1128.8 ]                  = 131.3 KJ         G = G0 + RTlnK         131300 J - 130618J = 8.314 J / mol-K x 298K lnK              K = 1.3168

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