For a spontaneous reaction at all temperatures, which of the following is correct?

  • A
    Both $\Delta H$ and $\Delta S$ are positive
  • B
    $\Delta H$ is positive and $\Delta S$ is negative
  • C
    $\Delta H$ is negative and $\Delta S$ is positive
  • D
    Both $\Delta H$ and $\Delta S$ are negative

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The maximum work done in expanding $16 \ g$ of oxygen at $300 \ K$ from an initial volume of $5 \ dm^3$ to a final volume of $25 \ dm^3$ isothermally and reversibly is $(\log_{10} 5 = 0.699)$.

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Calculate the work done during the reversible isothermal expansion of $2 \ mol$ of an ideal gas at $298 \ K$ from $10 \ L$ to $20 \ L$ in $J$. (in $.9$)

Data given for the following reaction is as follows:
$FeO_{(s)} + C_{(\text{graphite})} \longrightarrow Fe_{(s)} + CO_{(g)}$
Substance $\Delta H^{\circ} \text{ (kJ mol}^{-1})$ $\Delta S^{\circ} \text{ (J mol}^{-1} \text{ K}^{-1})$
$FeO_{(s)}$ $-266.3$ $57.49$
$C_{(\text{graphite})}$ $0$ $5.74$
$Fe_{(s)}$ $0$ $27.28$
$CO_{(g)}$ $-110.5$ $197.6$

The minimum temperature in $K$ at which the reaction becomes spontaneous is ....... .
(Integer answer)

For the reaction $A \longrightarrow B$,$\Delta H^{\circ} = 7.5 \, kJ \, mol^{-1}$ and $\Delta S^{\circ} = 25 \, J \, K^{-1} \, mol^{-1}$. The value of $\Delta G^{\circ}$ and the temperature at which the reaction reaches equilibrium are,respectively:

The criterion for a spontaneous process is

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