In conversion of lime-stone to lime, CaCO3(s)⟶CaO(s)+CO2(g) he values of ΔH∘ and ΔS∘ are 179.1kJmol-1 and 160.2JK−1mol−1 respectively at 298 K and 1 bar. Assuming that  ΔH∘and ΔS∘do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is

In conversion of lime-stone to lime, CaCO3(s)CaO(s)+CO2(g) he values of ΔH and ΔS are 179.1kJmol-1 and 160.2JK1mol1 respectively at 298 K and 1 bar. Assuming that  ΔHand ΔSdo not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is

  1. A

    1008 K

  2. B

    1200 K

  3. C

    845 K 

  4. D

    1118 K

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    Solution:

    The temperature at which given reaction exists as equilibrium is

    Teq =ΔHΔS=179.1×103mol1160.2JK1mol1=1118K

    At T>Teq,ΔGof the reaction will be negative and hence the given reaction will be spontaneous.

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