Question

AGO/kJ mol -109.7 378.5 -10.8 - 1576.4 0.0 3.1 -604.2 -1128.8 0.0 2.9 Compound AgCl(s) AgN,(s) Ag,O(s) Al2O3(s) Bre(2) Bre(g) | Cabs) CaCO,(s) C-graphite C-diamond CH (g) CH2(g) C.H.(g) C2H6g) CeHel) CO(g) CO2(g) CuO (8) Fe2O3(s) HBr(g) HCl(g) HI(g) -50.8 209.2 68.2 -32.9 124.5 -137.3 -394.4 -127.2 -741.0 -53.2 -95.3 Compound H2O(g) H2O(1) H2O2(1) H,S(g) HgO(s) Iz(s) Iz(g) KCl(s) KBr(s) MgO(s) MgH (s) NH3(g) NO(g) NO2(g) N20 (g) NF (g) NaCl(s) NaBr(s) Os(g) SO2(g) SO2(g) ZnO(s) AGO/kJ mol -228.6 -237.2 -114.0 -33.0 -58.5 0.0 19.4 -408.3 -393.1 -569.6 76.1 16.7 86.7 51.8 98.3 -124.7 -384.0 -347.6 163.4 -300.4 -370.4 -318.2 13

Answer 1

Consider given reaction, CaCO3 (s) $1585599136669_blob.png$ CaO (s) + CO2 (g)

For above reaction , standard Gibbs energy change is calculated by using formula as shown below.

$1585599136355_blob.png$rG 0 = $1585599136592_blob.png$$1585599136595_blob.png$fG 0 ( products ) -  $1585599136678_blob.png$$1585599136285_blob.png$fG 0 ( Reactants)

$1585599136367_blob.png$$1585599136552_blob.png$$1585599137399_blob.png$f G 0 ( products ) = $1585599136943_blob.png$fG 0 CaO (s) +  $1585599136370_blob.png$f G 0 CO2 (g)

$1585599136373_blob.png$$1585599136937_blob.png$f G 0 ( products ) = ( - 604.2 k J / mol ) + ( - 394.4 k J / mol ) = - 998.6 k J / mol

$1585599136678_blob.png$$1585599136285_blob.png$fG 0 ( Reactants) = $1585599136943_blob.png$fG 0 CaCO3 (s) = - 1128.8 k J / mol

$1585599136367_blob.png$$1585599136355_blob.png$rG 0 = - 998.6 k J / mol - ( - 1128.8 k J / mol) = 130.2 k J / mol

We have relation, $1585599136355_blob.png$rG 0 = - 2.303 R T log K , where K is equilibrium constant.

At standard conditions, T = 298 K .

$1585599136367_blob.png$ 130200 J / mol = - 2.303 $\times$ 8.314 J K -1 mol -1 $\times$ 298 K $\times$ log K

log K = - (  130200 J / mol / 2.303 $\times$ 8.314 J K -1 mol -1 $\times$ 298 K )

log K = - 22.82

Taking antilog on both sides, we get K = 1.52 $\times$ 10 -23  

ANSWERS 1) $1585599136355_blob.png$rG 0 = 130.2 k J / mol and 2) K = 1.52 $\times$ 10 -23