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In the conversion of lime stone to lime,...

In the conversion of lime stone to lime, `CaCO_(3(s)) rarr CaO_((s)) + CO_(2(g))`, the values of `Delta H^(@) and Delta S^(@)` are + 179.1 kJ `mol^(-1)` and 160.2 `JK^(-1) mol^(-1)` respectively at 298K and 1 bar. Assuming, `Delta H^(@) and Delta S^(@)` do not change with temperature, temperature above which conversion of lime stone to lime will be spontaneous is

A

1118K

B

1008K

C

1200K

D

845K

Text Solution

Verified by Experts

The correct Answer is:
A
`Delta G lt 0 rArr Delta H^(0) - T Delta S^(0) lt 0`
`rArr 179.1 - (T xx 160.2)/(1000) lt 0 rArr T gt 1117.9`
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