Which of the following statements is/are true?

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BlackTom AI · Accepted Answer

The question asks which statements are true. Note that the provided data lists two candidate statements labeled b and d, but the options themselves are not present in the answer_options field, so I will analyze the two given statements as if they are the potential true options.

Option b: "Heat capacity is depending on the process undergoing during heat introduction". This statement addresses the fact that heat capacity is not always a single universal number for all conditions. For real substances, especially when phase changes or large temperature ranges are involved, Cp and Cv (the heat capacities at constant pressure and constant volume) can differ, and the effective amount of heat required to raise the temperature can depend on how heat is added (the process). In thermodynamics, Cp is defined under constant pressure and Cv under constant volume, highlighting that heat capacity is inherently tied to the process or constraint. Therefore, the idea that heat capacity depends on the process is conceptually accurate, though one should be careful to distinguish between the specific heat capacities (Cp, Cv) defined for particular processes and the general notion of heat capacity as a proportionality between heat and temperature change.

Option d: "Heat capacity is the relation between the heat input to the system and corresponding temperature increase." This is a direct and standard definition, at least in differential form: C = dQ/dT. It captures the essential idea that heat capacity relates the amount of heat added to the resulting change in temperature. In practice, this relation is used with the understanding that C may be defined for a specific process (Cp, Cv) or considered as a differential property dQ/dT for changes along a path. Thus, this statement is true as a definition of heat capacity, particularly in its differential form, though one must be mindful of the fact that the exact value can depend on the process (e.g., constant pressure vs constant volume).

In summary, both statements align with thermodynamic concepts: heat capacity can depend on the heat addition process (due to different process constraints or phase behavior), and heat capacity relates heat input to temperature change (dQ/dT or, for practical cases, Cp or Cv under specific constraints). If you were evaluating these as true/false options, both would be considered correct explanations, given typical interpretations in thermodynamics.

BH20A0720 Engineering Thermodynamics - Blended teaching 2.9.2024-15.12.2024 Quiz 4

Which of the following statements is/are true?

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