Calculate the standard free energy change, $ \Delta G^o$ for the reaction \[\] $H_2(g) + I_2(g) \rightarrow 2HI(g)$ \[\] Given that the standard enthalpy change and the standard entropy change for the reaction are $52 \: kJ\: and\: 165.2 \: J/K$ respectively.

Question

$\begin {array} {1 1} (a)\;2.7 kJ & \quad (b)\;-2.7 kJ \\ (c)\; 101.23 kJ & \quad (d)\;-109.23 kJ \end {array}$