In conversion of lime-stone to lime,
`CaCO_(3(s)) to CaO_((s)) + CO_(2(g))` the values of `DeltaH^@` and `DeltaS^@` are `+179.1 kJmol^(-1)` and `160.2 J//K` respectively at `298K` and 1 bar. Assuming that `DeltaH^@` and `DeltaS^@` do not change with temperature, temperature above which conversion of lime-stone to lime will be spontaneous is :

Options

A. 1118 K
B. 1008 K
C. 1200 K
D. 845 K

Answer

A

Explanation

For spontaneous reaction `Delta G^(@) = -ve`
`Delta G^(@) = Delta H^(2) - T Delta S^(@)`, `:. Delta H^(@) lt T Delta S^(@)`
or `T gt (Delta H^(@))/(Delta S^(@)) gt (179.10 xx 10^(3))/(160.2) gt 1118 K`