For the reaction between ${\mathrm{CO}}_2$ and graphite :

${\mathrm{CO}}_2\left(g\right)+C\left(s\right)⟶2\mathrm{CO}\left(g\right)$

$\mathrm{\Delta }H=170 \mathrm{kJ}$ and $\mathrm{\Delta }S=170.J^{-1}\text{. }$The reaction will b spontaneous at :

In case of spontaneous reaction, 

$\mathrm{\Delta }G=-ve$
For equilibrium, we know that,

$\mathrm{\Delta G}=\mathrm{O}$ Thus,

$\mathrm{△}\mathrm{H}=\mathrm{T}\mathrm{△}\mathrm{S}$

Now for the given case,

$T>\frac{170\times {10}^3}{170}\mathbf{K}$

$\mathrm{T}>1000 \mathrm{K}$

Here, only option D fulfill this condition.