Chemistry Thermochemistry UHS 2023
PMDC Verified Question 26 of 81
What is the unit of heat capacity?

[USH (2023)]
A
\( \text{kJ/K} \)
B
\( \text{kJmol}^{-1} \)
C
\( \text{JK}^{-1} \)
D
\( \text{kJmol} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( \text{kJ/K} \)
Concept:

Heat capacity (C) of a body or system is defined as the quantity of heat energy required to change its temperature by exactly 1 Kelvin (or 1 degree Celsius).

Formula:

$$ C = \frac{q}{\Delta T} $$

Solution:

  • The numerator, heat (q), is measured in Joules (J) or kiloJoules (kJ).


  • The denominator, change in temperature (\( \Delta T \)), is measured in Kelvin (K).


  • Therefore, the unit becomes \( \text{J/K} \) or, scaled up, \( \text{kJ/K} \).


  • Note: The past paper key accepts \( \text{kJ/K} \) (Option C in original print) as the specific answer here, though \( \text{JK}^{-1} \) is also physically valid. We faithfully preserve the source's verified correct answer.


Why other options are incorrect:

\( \text{kJmol}^{-1} \) is the unit for molar enthalpy, not heat capacity (it lacks a temperature dimension). \( \text{kJmol} \) is dimensional nonsense.

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