Thermodynamic data for a reaction vary with temperature as shown: at and at at and at…

CHEMISTRY · Subjective · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

Thermodynamic data for a reaction vary with temperature as shown:

\Delta H^\circ = 71\,\text{kJ\,mol}^{-1}

500\,\text{K}

and

\Delta H^\circ = 63\,\text{kJ\,mol}^{-1}

800\,\text{K}

\Delta S^\circ = 190\,\text{J\,mol}^{-1}\,\text{K}^{-1}

500\,\text{K}

and

\Delta S^\circ = 160\,\text{J\,mol}^{-1}\,\text{K}^{-1}

800\,\text{K}

Estimate the equilibrium constant at

800\,\text{K}

by using the average values of

\Delta H^\circ

and

\Delta S^\circ

over this temperature interval. (Use

R = 8.314\,\text{J\,mol}^{-1}\,\text{K}^{-1}

; give

K

in scientific notation to two significant figures.)