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(Solved): In a blast furnace limestone (calcium carbonate) is decomposed into calcium oxide and carbon dioxide ...



In a blast furnace limestone (calcium carbonate) is decomposed into calcium oxide and carbon dioxide according to the equation:

CaCO_(3)(s)->CaO(s)+CO_(2)(g)

i. The standard enthalpies of formation of

CaCO_(3)(s),CaO(s)

and

CO_(2)(g)

are

-1207kJmol^(-1),-635kJmol^(-1)

and

-394kJmol^(-1)

respectively. Calculate the standard enthalpy change,

\Delta H⊖

, for the thermal decomposition of calcium carbonate. ii. The standard entropy values for

CaCO_(3)(s),CaO(s)

and

CO_(2)(g)

are

92.9JK^(-1)mol^(-1),40.0JKmol^(-1)

and

214JK^(-1)mol^(-1)

respectively. Calculate the change in entropy,

\Delta S⊖

, for the thermal decomposition of calcium carbonate. iii. Calculate the change in standard Gibbs energy,

\Delta G⊖

, for the thermal decomposition of calcium carbonate at

298K

. iv. State whether the thermal decomposition of calcium carbonate is spontaneous or non-spontaneous at

298K

. v. Explain why limestone cliffs are thermodynamically stable whereas limestone decomposes readily in a blast furnace.

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