A) \[{{\left( RT \right)}^{1/2}}\]
B) \[{{\left( RT \right)}^{-1/2}}\]
C) \[\left( RT \right)\]
D) \[{{\left( RT \right)}^{-1}}\]
Correct Answer: B
Solution :
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, \[\operatorname{CO}\,(g)+\,\,\frac{1}{2}{{O}_{2}}(g)\,\to \,\,C{{O}_{2}}\,(g)\] \[\Delta {{n}_{g}}=1-(1+0.5)=-\,0.5\,\,or\,\,-\frac{1}{2}\] \[\therefore \,\,\,\,\,{{K}_{p}}={{K}_{c}}{{(RT)}^{-\,\frac{1}{2}}}\] \[\frac{{{K}_{p}}}{{{K}_{c}}}=\,\,{{(RT)}^{-\,\frac{1}{2}}}\]You need to login to perform this action.
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