question_answer 11)

Calculate\[\Delta {{G}^{{}^\circ }}\]for the conversion of oxygen to ozone, \[(3/2){{O}_{2}}(g)\rightleftharpoons {{O}_{3}}(g)\]at \[298K\], if\[{{K}_{p}}\]for this conversion is\[2.47\times {{10}^{-29}}\].  

Answer:

We know that, \[\Delta {{G}^{{}^\circ }}=-2.303RT\log {{K}_{p}}\] \[=-2.303\times 8.314\times 298\log 2.47\times {{10}^{-29}}\] \[=163228J/mol\] \[=163.228kJ/mol.\]