Physics Thermodynamics DUHS 2022
PMDC Verified Question 40 of 54
Specific heat capacity of a gas is measured in:
A
\(\text{J kg}^{-1} \text{K}^{-1}\)
B
\(\text{J kg K}^{-1}\)
C
\(\text{J kg}^{-1\circ} \text{K}\)
D
\(\text{J kg}^\circ \text{K}\)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \(\text{J kg}^{-1} \text{K}^{-1}\)
1. Concept:

Specific heat capacity determines how much thermal energy is required to raise the temperature of one unit of mass by one unit of absolute temperature.

2. Formula:

$$c = \frac{Q}{m \Delta T}$$

3. Solution:

  • Look at the units in the formula: \(Q\) is in Joules (J).


  • Mass \(m\) is in kilograms (kg).


  • Temperature change \(\Delta T\) is in Kelvin (K).


  • Combining these gives: \(\frac{\text{J}}{\text{kg} \cdot \text{K}}\), which is mathematically written as \(\text{J kg}^{-1} \text{K}^{-1}\).


4. Why other options are incorrect:

Other options have incorrect inverse signs (e.g., placing mass in the numerator rather than denominator) or use inappropriate degrees for Kelvin.

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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