The process is spontaneous at the given temperature,if

The relation between $\Delta G$ and $\Delta H$ is

Which of the following conditions will always lead to a non-spontaneous change?

At the transition temperature $T$, $\Delta G^0 = 0$ and $\Delta G^0 = 105 - 35 \log T$, where $A$ and $B$ are two states of substance $X$. The transition temperature in $^\circ\text{C}$ when pressure is $1 \text{ atm}$ is . . . . . . .

The standard enthalpy and standard entropy of decomposition of $N_2O_4$ to $NO_2$ are $55.0 \ kJ \ mol^{-1}$ and $175.0 \ J \ K^{-1} \ mol^{-1}$ respectively. The standard free energy change for this reaction at $25 ^{\circ}C$ in $J \ mol^{-1}$ is $............$ $(Nearest \ integer)$.

For a particular reversible reaction at temperature $T$,$\Delta H$ and $\Delta S$ were found to be both positive. If $T_e$ is the temperature at equilibrium,the reaction would be spontaneous when