Concept:The mathematical relationship between \( K_p \) and \( K_c \) relies on \( \Delta n \) (change in gaseous moles). According to Avogadro's law, volume is directly proportional to moles of gas at constant T and P.
Formula:$$ K_p = K_c(RT)^{\Delta n} $$
Solution:- For \( K_p \) to be mathematically greater than \( K_c \), the term \( \Delta n \) must be positive (\( \Delta n > 0 \)).
- \( \Delta n = (\text{moles of products}) - (\text{moles of reactants}) \).
- A positive \( \Delta n \) means there are more moles of gas on the product side than the reactant side.
- Because more moles occupy more volume, this translates directly to an increase in volume on the product side.
Why other options are incorrect:A decrease in volume on the product side implies \( \Delta n < 0 \), which would make \( K_p < K_c \).
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