A 12-kg solid whose specific heat is 2.8 kJ / kg

step 1 We have 12 kilograms of a solid, and we're given the heat capacity is 2 .8 kilojoules per kilogr

A $12-\mathrm{kg}$ solid whose specific heat is $2.8 \mathrm{~kJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}$ is at a uniform temperature of $-10^{\circ} \mathrm{C}$. For an environment temperature of $20^{\circ} \mathrm{C}$, the exergy content of this solid is (a) Less than zero (b) $0 \mathrm{~kJ}$ (c) $4.6 \mathrm{~kJ}$ $(d) 55 \mathrm{~kJ}$ (e) $1008 \mathrm{~kJ}$

A $12-\mathrm{kg}$ solid whose specific heat is $2.8 \mathrm{~kJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}$ is at a uniform temperature of $-10^{\circ} \mathrm{C}$. For an environment temperature of $20^{\circ} \mathrm{C}$, the exergy content of this solid is
(a) Less than zero
(b) $0 \mathrm{~kJ}$
(c) $4.6 \mathrm{~kJ}$
$(d) 55 \mathrm{~kJ}$
(e) $1008 \mathrm{~kJ}$

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Key Concepts

Thermal Exergy Calculation

Thermal exergy calculation involves quantifying the potential work obtainable from a temperature difference between a system and its environment. This calculation integrates the concepts of specific heat and the dead state to determine the work potential from thermal energy.

Specific Heat

Specific heat is a material property that measures the amount of heat required to change the temperature of a unit mass of a substance by one degree Celsius. It is crucial in calculating the energy changes associated with temperature variations within a system.

Exergy (Available Energy)

Exergy represents the maximum useful work that can be extracted from a system as it reaches equilibrium with a reference environment. It assesses the quality or usefulness of energy by considering the system's state relative to its surroundings.

Dead State

The dead state is the condition in which a system is in complete thermal and mechanical equilibrium with its environment, meaning that no further work can be extracted from the system. This concept is essential in exergy analysis as it defines the baseline state for energy quality comparisons.

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