A 10 g body is kept in an enclosure of 27^∘ C. For body's temperature 127^∘ C, the specific hea

step 1 Dear students in problem 21 of chapter 11 we have asked that a 10 gram body is kept an enclosure

A 10 g body is kept in an enclosure of 27^∘ C. For body's...

A $10 \mathrm{~g}$ body is kept in an enclosure of $27^{\circ} \mathrm{C}$. For body's temperature $127^{\circ} \mathrm{C}$, the specific heat $0.1 \mathrm{~K} \mathrm{cal} / \mathrm{kg}^{\circ} \mathrm{C}$ and surface area $10^{-3} \mathrm{~m}^{2}$. The $\left(\sigma=5.67 \times 10^{-8} \mathrm{~W} / \mathrm{m}^{2} \mathrm{k}^{4}\right]$ (A) Rate of cooling is $0.227 \mathrm{ks}^{-1}$ (B) Rate of cooling will be zero at $400 \mathrm{~K}$ enclosure (C) Cooling does not take place (D) Cooling will be faster at $127^{\circ} \mathrm{C}$ enclosure

A $10 \mathrm{~g}$ body is kept in an enclosure of $27^{\circ} \mathrm{C}$. For body's temperature $127^{\circ} \mathrm{C}$, the specific heat $0.1 \mathrm{~K} \mathrm{cal} / \mathrm{kg}^{\circ} \mathrm{C}$
and surface area $10^{-3} \mathrm{~m}^{2}$. The $\left(\sigma=5.67 \times 10^{-8} \mathrm{~W} / \mathrm{m}^{2} \mathrm{k}^{4}\right]$
(A) Rate of cooling is $0.227 \mathrm{ks}^{-1}$
(B) Rate of cooling will be zero at $400 \mathrm{~K}$ enclosure
(C) Cooling does not take place
(D) Cooling will be faster at $127^{\circ} \mathrm{C}$ enclosure

Key Concepts

Thermal Equilibrium

Thermal equilibrium occurs when a body and its surrounding environment reach the same temperature, resulting in no net heat transfer between them. At this state, the energy emitted by the body balances the energy absorbed from the environment, meaning that cooling or heating effectively ceases. This principle is fundamental to understanding why certain conditions do not result in net thermal changes despite ongoing radiative processes.

Stefan-Boltzmann Law

This law states that the total energy radiated per unit surface area of a black body is proportional to the fourth power of its absolute temperature. It provides the basis for calculating the radiative heat transfer from a body, taking into account both the energy it emits and the energy it absorbs from its surroundings, and is crucial for determining the rate of cooling or heating due to radiation.

Net Radiative Heat Transfer

Net radiative heat transfer is the difference between the energy a body radiates and the energy it receives from its environment. It is determined by the temperatures of both the body and its surroundings, and only when these temperatures differ does the body experience a net loss or gain of heat. This concept is key in understanding how and when an object will cool or warm in a given environment.

Specific Heat Capacity

Specific heat capacity is a measure of the amount of energy required to raise the temperature of a unit mass of a substance by one degree. This property affects how quickly the temperature of a body changes in response to heat gain or loss, making it an essential factor in calculations involving temperature changes over time in any thermal system.

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