A) \[{{K}_{p}}={{K}_{c}}\],
B) \[{{K}_{p}}>{{K}_{c}}\],
C) \[{{K}_{p}}<{{K}_{c}}\],
D) \[{{K}_{p}}\ge {{K}_{c}}\],
Correct Answer: A
Solution :
Key Idea For a general reaction \[{{n}_{1}}A+{{n}_{2}}B{{m}_{1}}C+{{m}_{2}}D\] \[{{K}_{p}}={{K}_{c}}\,{{(RT)}^{({{m}_{1}}+{{m}_{2}})-({{n}_{1}}+{{n}_{2}})}}\] or \[{{K}_{p}}={{K}_{c}}=\,\,{{(RT)}^{\Delta \,{{n}_{g}}}}\] For the reaction \[{{H}_{2}}(g)+{{I}_{2}}(g)2\,HI(g)\] In this reaction \[{{m}_{1}}+{{m}_{2}}={{n}_{1}}+{{n}_{2}}\] ie, \[\Delta {{n}_{g}}=2-2=0\] Note - (1)When \[{{m}_{1}}+{{m}_{2}}>{{n}_{1}}+{{n}_{2}}\] as in the reaction \[PC{{l}_{5}}PC{{l}_{3}}+C{{l}_{2}}\] The, \[{{K}_{p}}>{{K}_{c}}\] (2)When, \[{{m}_{1}}+{{m}_{2}}<{{n}_{1}}+{{n}_{2}}\] as in the equation \[{{N}_{2}}+3{{H}_{2}}2N{{H}_{3}}\] The, \[{{K}_{p}}<{{K}_{c}}\]
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