At $298 \, K$ and $1 \, atm$ pressure,the entropies of $H_2(g)$,$Cl_2(g)$,and $HCl(g)$ are $130.6$,$223$,and $186.7 \, J \, K^{-1} \, mol^{-1}$ respectively. What is the entropy change for the reaction $H_2(g) + Cl_2(g) \rightarrow 2HCl(g)$ in $J \, K^{-1} \, mol^{-1}$?
- A$540.3$
- B$727$
- C$-166.9$
- D$19.8$
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