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Q. The values of $\Delta H$ and $\Delta S$ for the reaction, $C$ (graphite) $+ CO _{2}( g ) \rightarrow 2 CO ( g )$ are $170\, kJ$ and $170\, JK ^{-1}$ respectively. This reaction will be spontaneous at -

AIPMTAIPMT 2009Thermodynamics

Solution:

For a spontaneous reaction

$\Delta G =- ve$

Or ar eq. $\Delta G =0$

$\Delta H = T \Delta S$

$T =\frac{\Delta H }{\Delta S }$

$=\frac{170 \times 10^{3}}{170}$

$=1000\, K$