Consider a hot, boiled egg in a spacecraft that is filled with air at atmospheric pressure and temperature at all times. Disregarding any radiation effect, will the egg cool faster or slower when the spacecraft is in space instead of on the ground? (a) faster (b) no difference (c) slower (d) insufficient information

Short Answer

Expert verified
Answer: The egg will cool slower in a spacecraft in space compared to on the ground.

Step by step solution

01

Conduction heat transfer

Conduction heat transfer is the transfer of energy through a solid or a stationary fluid (gas or liquid). The rate of heat transfer by conduction depends on the temperature difference, the material's thermal conductivity, and the distance the heat travels. In our case, the egg's temperature and the spacecraft's internal temperature will not vary in both scenarios, so we can assume that conduction heat transfer will be the same.
02

Convection heat transfer on the ground

Convection heat transfer is the transport of heat through the movement of fluids (liquids or gases). On Earth, gravitational forces drive the movement of fluids by creating buoyancy forces. When a hot object (like the egg) is surrounded by cooler fluid (like the air), the heated fluid expands and becomes less dense. The buoyancy forces push the heated fluid away from the hot object, and colder fluid takes its place by moving towards the hot object. This continuous movement of fluid carries heat away from the hot object, resulting in cooling. This is called natural convection.
03

Convection heat transfer in space

In the microgravity environment of space, buoyancy forces are practically non-existent. This means that natural convection will not be present to help transport heat away from the egg. As a result, the only way the heat can be transferred from the egg to the air is through conduction and very weak forced convection due to activity inside the spacecraft.
04

Comparing cooling rates

Comparing the mentioned scenarios, we can see that on Earth, the cooling of the egg is achieved by both conduction and natural convection. In space, the cooling is mainly due to conduction and some weak forced convection. Since natural convection is absent in space, the egg will cool more slowly there. Answer: (c) slower

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Conduction Heat Transfer
Imagine holding a hot cup of coffee; the warmth you feel on your hands is a perfect example of conduction heat transfer. It's the process where heat energy travels through a medium without the medium itself moving. In the case of our spacecraft scenario, the boiled egg releases its heat to the surrounding air molecules through direct contact. The science behind this process is quite fascinating.The speed at which this transfer happens is influenced by a few factors: the temperature difference between the hot and cold areas (in this case, between the egg and the spacecraft’s air), the material of the medium through which heat is passing (here, the air), and the thermal conductivity of that medium. Thermal conductivity is a measure of how easily heat moves through a material; metal, for instance, has a high conductivity, which is why the handle of a metal spoon becomes hot when it's left in a pot of boiling water.In the vast expanse of space, as in any environment, conduction plays its role steadily. But without significant differences between space and Earth environments in terms of the materials involved in our case, we'll find the conduction's role remains constant. The core takeaway? While the mechanism of conduction is uniform, the efficiency of heat transfer does change dependent on surrounding conditions, which can be vastly different in space.
Convection Heat Transfer
Now let's delve into convection heat transfer, a phenomenon you may have observed when feeling a warm breeze or seeing water boiling in a pot. This mode of heat transfer involves fluids—that is, liquids and gases—moving and carrying heat with them. On Earth, convection occurs naturally due to gravity: warmer, less dense air rises, while cooler, denser air sinks. This creates a flow, a dance of sorts, which circulates heat.While on Earth the egg would cool by this very dance—warmer air from its surface rising and being replaced by cooler air—things change dramatically when we leave this gravitational dance floor. Space provides a peculiar stage with microgravity conditions where this gravitational choreography doesn't exist. Without the push and pull of gravity, the air around the hot egg doesn't rise, and the cool air can't swoop in to take its place. This results in a significant loss of convection as a cooling method, causing the egg to retain heat for a longer period. It's a bit like trying to fan yourself in a room filled with still air; there's little movement and, therefore, little relief.
Microgravity's Impact on Heat Transfer
Exploring the cosmos introduces us to microgravity, an environment where the effects of gravity are greatly reduced. This may sound like a small change, but for heat transfer, it's a whole new world. Microgravity changes the rules of the game by eliminating buoyancy-driven convection as explained earlier, and this impacts how objects cool down.In the microgravity of space, the air surrounding our hot egg doesn't flow as it would on Earth. The loss of a density-driven force field means that the once busy thoroughfare of heat-carrying air becomes a stagnant cul-de-sac. The implications are significant for space travel, as the cooling of equipment and even the comfort of astronauts becomes a thermal challenge. The importance of understanding microgravity's impact on heat transfer extends beyond science experiments; it's a critical part of designing life support systems, thermal controls, and even space suits.In essence, microgravity turns the well-understood principles of convection on their head, illustrating the complex nature of physics in space. For students, this emphasizes the necessity to consider the unique conditions of the environment when studying thermodynamics or any physical phenomena, as they can dramatically change the outcome.

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Most popular questions from this chapter

Exhaust gases from a manufacturing plant are being discharged through a \(10-\mathrm{m}-\) tall exhaust stack with outer diameter of \(1 \mathrm{~m}\). The exhaust gases are discharged at a rate of \(0.125 \mathrm{~kg} / \mathrm{s}\), while temperature drop between inlet and exit of the exhaust stack is \(30^{\circ} \mathrm{C}\), and the constant pressure-specific heat of the exhaust gases is \(1600 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\). On a particular calm day, the surrounding quiescent air temperature is \(33^{\circ} \mathrm{C}\). Solar radiation is incident on the exhaust stack outer surface at a rate of \(500 \mathrm{~W} / \mathrm{m}^{2}\), and both the emissivity and solar absorptivity of the outer surface are \(0.9\). Determine the exhaust stack outer surface temperature. Assume the film temperature is \(60^{\circ} \mathrm{C}\).

A 4-m-diameter spherical tank contains iced water at \(0^{\circ} \mathrm{C}\). The tank is thin-shelled and thus its outer surface temperature may be assumed to be same as the temperature of the iced water inside. Now the tank is placed in a large lake at \(20^{\circ} \mathrm{C}\). The rate at which the ice melts is (a) \(0.42 \mathrm{~kg} / \mathrm{s}\) (b) \(0.58 \mathrm{~kg} / \mathrm{s}\) (c) \(0.70 \mathrm{~kg} / \mathrm{s}\) (d) \(0.83 \mathrm{~kg} / \mathrm{s}\) (e) \(0.98 \mathrm{~kg} / \mathrm{s}\) (For lake water, use \(k=0.580 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, \operatorname{Pr}=9.45, v=\) \(0.1307 \times 10^{-5} \mathrm{~m}^{2} / \mathrm{s}, \beta=0.138 \times 10^{-3} \mathrm{~K}^{-1}\) )

A horizontal \(1.5\)-m-wide, \(4.5\)-m-long double-pane window consists of two sheets of glass separated by a \(3.5-\mathrm{cm}\) gap filled with water. If the glass surface temperatures at the bottom and the top are measured to be \(60^{\circ} \mathrm{C}\) and \(40^{\circ} \mathrm{C}\), respectively, the rate of heat transfer through the window is (a) \(27.6 \mathrm{~kW}\) (b) \(39.4 \mathrm{~kW}\) (c) \(59.6 \mathrm{~kW}\) (d) \(66.4 \mathrm{~kW} \quad(e) 75.5 \mathrm{~kW}\) (For water, use \(k=0.644 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, \operatorname{Pr}=3.55, v=\) \(0.554 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s}, \beta=0.451 \times 10^{-3} \mathrm{~K}^{-1}\). Also, the applicable correlation is \(\mathrm{Nu}=0.069 \mathrm{Ra}^{1 / 3} \operatorname{Pr}^{0.074}\) ).

A \(50-\mathrm{cm} \times 50-\mathrm{cm}\) circuit board that contains 121 square chips on one side is to be cooled by combined natural convection and radiation by mounting it on a vertical surface in a room at \(25^{\circ} \mathrm{C}\). Each chip dissipates \(0.18 \mathrm{~W}\) of power, and the emissivity of the chip surfaces is 0.7. Assuming the heat transfer from the back side of the circuit board to be negligible, and the temperature of the surrounding surfaces to be the same as the air temperature of the room, determine the surface temperature of the chips. Evaluate air properties at a film temperature of \(30^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\) pressure. Is this a good assumption?

A vertical \(0.9\)-m-high and \(1.8\)-m-wide double-pane window consists of two sheets of glass separated by a \(2.2-\mathrm{cm}\) air gap at atmospheric pressure. If the glass surface temperatures across the air gap are measured to be \(20^{\circ} \mathrm{C}\) and \(30^{\circ} \mathrm{C}\), the rate of heat transfer through the window is (a) \(19.8 \mathrm{~W}\) (b) \(26.1 \mathrm{~W}\) (c) \(30.5 \mathrm{~W}\) (d) \(34.7 \mathrm{~W}\) (e) \(55.0 \mathrm{~W}\) (For air, use \(k=0.02551 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, \operatorname{Pr}=0.7296, v=\) \(1.562 \times 10^{-5} \mathrm{~m}^{2} / \mathrm{s}\). Also, the applicable correlation is \(\mathrm{Nu}\) \(\left.=0.42 \mathrm{Ra}^{1 / 4} \mathrm{Pr}^{0.012}(H / L)^{-0.3}\right)\) (For air, use \(k=0.02588 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, \operatorname{Pr}=0.7282, v=1.608 \times\) \(10^{-5} \mathrm{~m}^{2} / \mathrm{s}\) )

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