• # question_answer For the following reaction in gaseous phase $CO(g)+\frac{1}{2}{{O}_{2}}(g)\to C{{O}_{2}}(g),\,\,{{K}_{p}}/{{K}_{c}})$, is A) ${{\left( RT \right)}^{1/2}}$      B)        ${{\left( RT \right)}^{-1/2}}$  C) $\left( RT \right)$            D)        ${{\left( RT \right)}^{-1}}$

For a gaseous phase reaction ${{\operatorname{K}}_{p}}\,\,and\,\,{{K}_{e}}$ are related as ${{\operatorname{K}}_{p}}={{K}_{c}}\,{{(RT)}^{\Delta {{n}_{g}}}}$ For the given reaction, $\operatorname{CO}\,(g)+\,\,\frac{1}{2}{{O}_{2}}(g)\,\to \,\,C{{O}_{2}}\,(g)$ $\Delta {{n}_{g}}=1-(1+0.5)=-\,0.5\,\,or\,\,-\frac{1}{2}$ $\therefore \,\,\,\,\,{{K}_{p}}={{K}_{c}}{{(RT)}^{-\,\frac{1}{2}}}$ $\frac{{{K}_{p}}}{{{K}_{c}}}=\,\,{{(RT)}^{-\,\frac{1}{2}}}$