Q.

In the conversion of limestone to lime:CaCO3s →CaOs +CO2g.The value of ∆H0 and ∆S0 are 179.1 kJmol-1 and 160.2 Jk-1mol-1 , respectively at 298 K and 1bar.Assuming ∆H0 and ∆S0  remain constant with temperature, at which temperature conversion of limestoneto lime will be spontaneous?

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a

1120 K

b

1008 K

c

1000

d

845 K

answer is A.

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Detailed Solution

Teq=∆H0∆S0; Teq=179.1×1000160.2=1117.9 K; Since ∆H0 and ∆S0 are positive, the process is spontaneous when T>1117.9 K ;
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In the conversion of limestone to lime:CaCO3s →CaOs +CO2g.The value of ∆H0 and ∆S0 are 179.1 kJmol-1 and 160.2 Jk-1mol-1 , respectively at 298 K and 1bar.Assuming ∆H0 and ∆S0  remain constant with temperature, at which temperature conversion of limestoneto lime will be spontaneous?