For the reaction
`CO (g) + (1)/(2) O_(2) (g) rarr CO_(2) (g)`
`Delta H` and `Delta S` are `-283 kJ` and `-87 J K^(-1)`, respectively. It was intended to carry out this reaction at 1000,1500,3000, and 3500 K. At which of these temperatures would this reaction be thermodynamically spontaneous?

Options

A. `1500` and `3500 K`
B. `3000` and `3500 K`
C. `1000`, `1500` and `3000 K`
D. `1500`, `3000` and `3500 K`

Answer

C

Explanation

For reaction to be spontaneous
`DeltaG lt 0`
`DeltaG=DeltaH-TDeltaS`
`DeltaG=-283xx10^(3)J-T(-87JK^(-1))`
`DeltaG lt 0`
`-283xx10^(3)J+Txx87JK^(-1) lt 0`
`:. Txx87JK^(-1) lt 283xx10^(3)J`
`T lt (283xx10^(3))/(87)K`
`T lt 3252.8 K`
`:. ` reaction is spontaneous at `1000`, `1500` and `3000K`.