Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (in `K`) at which the reduction of cassiterite by coke would take place.
At `298K`: `Delta_(f)H^(@)(SnO_(2)(s))=-581.0kJmol^(-1)`, `Delta_(f)H^(@)(CO_(2)(g))=-394.0kJmol^(-1)`,
`S^(@)(SnO_(2)(s))=56.0JK^(-1)mol^(-1)`, `S^(@)(Sn(s))=52.0JK^(-1)mol^(-1)`, `S^(@)(C(s))=6.0JK^(-1)mol^(-1),S^(@)(CO_(2)(g))=210.0JK^(-1)mol^(-1)`.
Assume that the enthalpies and the entropies are temperature independent.