Chemistry Equilibrium SZABMU 2023
PMDC Verified Question 37 of 102
For a gaseous phase reaction, when number of moles of reactant and product are equal:
A
The values of \( K_p \) and \( K_c \) are different
B
The value of \( K_p \) is greater than \( K_c \)
C
The value of \( K_c \) is greater than \( K_p \)
D
The values of \( K_p \) and \( K_c \) are the same
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: The values of \( K_p \) and \( K_c \) are the same
Concept:

When the stoichiometry of gaseous reactants perfectly matches the products, the change in moles (\( \Delta n \)) is zero.

Formula:

$$ K_p = K_c(RT)^{\Delta n} $$

Solution:

  • Since gaseous moles are equal on both sides, \( \Delta n = 0 \).


  • Substitute this into the equation: \( K_p = K_c(RT)^0 \).


  • Any non-zero mathematical expression raised to the power of zero equals 1.


  • Therefore, \( K_p = K_c \times 1 \), meaning their numerical values are completely identical.


Why other options are incorrect:

Any discrepancy between \( K_p \) and \( K_c \) fundamentally requires a non-zero change in the number of gaseous moles.

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