`DeltaS_("says") "for" 4Fe_((s)) + 3O_(2) rarr 2Fe_(2) O_(3(s)) " is" -550 J//k//mol` at 298K. If enthalpy change for same process is `-1600kJ//mol, DS_("total")` (in J/mol/K) is

Options

A. `[(1600)/(298) xx 10^(3)] + 550 gt 0`
B. `550- [(1600)/(298)[ lt 0`
C. `[(1600)/(298) xx 10^(3)] -550 gt 0`
D. `[(1600 + 550)/(298)] gt 0`

Answer

C

Explanation

`Delta S_("total") = Delta S_("sys") + Delta S_("sourrounding") gt 0`
`= Delta S+ ((-Delta H)/(T)) = -550 + ((-(-1600))/(298) xx 10^(3))`
`= (1600)/(298) xx 10^(3) - 550 gt 0`