A) \[{{K}_{p}}={{K}_{c}}[RT]\]
B) \[{{K}_{p}}={{K}_{c}}{{[RT]}^{2}}\]
C) \[{{K}_{p}}={{K}_{c}}{{[RT]}^{-1}}\]
D) \[{{K}_{p}}={{K}_{c}}\]
Correct Answer: A
Solution :
Key Idea The relation between \[{{K}_{p}}\] and \[{{K}_{c}}\] is given by \[{{K}_{p}}={{K}_{c}}\,{{(RT)}^{\Delta n}}\]where \[\Delta n=\] difference of stoichiometric coefficients of gaseous product and reactants. Assuming all the reactants and products in gaseous state. For the reaction \[aA+bBcC+dD\] \[\Delta n=(c+d)-(a+b)\] For the reaction \[PC{{l}_{5}}(g)PC{{l}_{3}}(g)+C{{l}_{2}}(g)\] \[\Delta n=2-1=1\] Therefore, \[{{K}_{p}}={{K}_{c}}{{(RT)}^{1}}\] \[{{K}_{p}}={{K}_{c}}(RT)\]
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