Find the value of logKP for the reaction \[\] $N_2(g) + 3H_2(g) \leftrightharpoons 2NH_3(g) $ \[\] The standard enthalpy of formation of $ NH_3 \: is \: -46\: kJ$. The standard entropies of $N_2(g),\: H_2(g)\: and\: NH_3(g) \: are\: 191, 130\: and\: 192\: J/Kmol$ respectively. $(R = 8.3 \: J/Kmol)$

Question

$\begin {array} {1 1} (A)\;2.226 & \quad (B)\;222.6 \\ (C)\;-2.226 & \quad (D)\;-222.6 \end {array}$