What is the change in entropy of the surroundings for the reaction, $H_2(g) + 1/2 O_2(g) \rightarrow H_2O(l)$ at $298 \text{ K}$, if the standard enthalpy of formation of water is $-286 \text{ kJ mol}^{-1}$?

  • A
    $959.7 \text{ J K}^{-1} \text{ mol}^{-1}$
  • B
    $801.5 \text{ J K}^{-1} \text{ mol}^{-1}$
  • C
    $850.7 \text{ J K}^{-1} \text{ mol}^{-1}$
  • D
    $980.0 \text{ J K}^{-1} \text{ mol}^{-1}$

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Given $\Delta _rS^o = -266 \ J \ K^{-1}$ and the listed $S_m^o$ values,calculate $S^o$ for $Fe_3O_{4(s)}$ for the reaction: $4 Fe_3O_{4(s)} + O_{2(g)} \to 6 Fe_2O_{3(s)}$. Given $S_m^o(Fe_2O_3) = 87 \ J \ K^{-1} \ mol^{-1}$ and $S_m^o(O_2) = 205 \ J \ K^{-1} \ mol^{-1}$.

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