For the decomposition reaction of $N_2O_4$,$\Delta H = 58.04 \, kJ$ and $\Delta S = 176.7 \, J/K$. Calculate $\Delta G$ in $kJ$ at $T = 298 \, K$.

  • A
    $539$
  • B
    $-539$
  • C
    $-5.39$
  • D
    $5.39$

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Which of the following conditions regarding a chemical process ensures its spontaneity at all temperatures?

Under what conditions will a reaction become spontaneous at all temperatures?

For the reaction $H_{2(g)} + \frac{1}{2}O_{2(g)} \to H_2O_{(l)}$,$\Delta H = -285.8 \ kJ \ mol^{-1}$,$\Delta S = -0.163 \ kJ \ mol^{-1} K^{-1}$. What is the value of free energy change at $27 \ ^\circ C$ for the reaction in $kJ \ mol^{-1}$?

Compare the following criteria for spontaneity of a reaction based on the values of $\Delta_{\text{r}}H^0$,$\Delta_{\text{r}}S^0$,and $\Delta_{\text{r}}G^0$:
$\Delta_{\text{r}}H^0$$\Delta_{\text{r}}S^0$$\Delta_{\text{r}}G^0$Description
$(a) (+)$$(-)$$(+)$$(i) \text{ Non-spontaneous at all temperatures}$
$(b) (-)$$(-)$$(-)$$(ii) \text{ Spontaneous at low temperatures}$
$(c) (-)$$(+)$$(-)$$(iii) \text{ Spontaneous at all temperatures}$

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