Chemistry Equilibrium ETEA 2023
PMDC Verified Question 40 of 102
For \( \Delta n = 0 \)
A
\( K_p = K_c \)
B
\( K_p \neq K_c \)
C
\( K_p > K_c \)
D
\( K_p < K_c \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( K_p = K_c \)
Concept:

The mathematical relationship between pressure-based (\( K_p \)) and concentration-based (\( K_c \)) equilibrium constants relies entirely on the change in gaseous moles.

Formula:

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

Solution:

  • The variable \( \Delta n \) represents the moles of gaseous products minus moles of gaseous reactants.


  • When \( \Delta n = 0 \), the equation becomes \( K_p = K_c(RT)^0 \).


  • Since any non-zero value to the zeroth power is 1, the \( RT \) term vanishes (becomes 1).


  • This leaves the strict equality: \( K_p = K_c \).


Why other options are incorrect:

Any inequality requires \( \Delta n \) to be either a positive or negative integer, not zero.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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