The entropy change at a high temperature T_X where aluminium is oxidized by oxygen is 335 JK^-1mol^-1 . The standard state entropy is -310.25 JK^-1mol^-1 . Calculate T_X if T_f = 900K and H_f = 10400 Jmol^-1 Al.

Given: C_p = 105.19 JK ¹mol¹ ,

Cp_O2 = 31.6 JK ¹mol¹

Cp = 27.8 JK ¹mol¹

Cp_{Al} = 32.5 JK ¹mol^-1