Physics Thermodynamics ETEA 2023
PMDC Verified Question 22 of 54
The expression, \(C_p - R\) is equal to:
A
\(C_p - C_v\)
B
\(R + C_p\)
C
\(C_v\)
D
\(R\)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \(C_v\)
1. Concept:

Mayer's equation establishes the absolute mathematical relationship between the specific heats of ideal gases.

2. Formula:

$$C_p - C_v = R$$

3. Solution:

  • Start with the standard equation: \(C_p - C_v = R\).


  • The question asks for the equivalent of \(C_p - R\).


  • By algebraically rearranging the terms (subtracting R from both sides and adding \(C_v\) to both sides), we yield: \(C_p - R = C_v\).


4. Why other options are incorrect:

All other options fail simple algebraic rearrangement. \(R\) is the difference itself, not the resulting specific heat.

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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