Chapter 10: Problem 1
What is absolute zero? Why is it considered a hypothetical temperature?
Short Answer
Expert verified
Absolute zero is 0 Kelvin, the theoretical lowest temperature possible, considered hypothetical because it cannot be physically reached due to quantum effects.
Step by step solution
01
Understanding Absolute Zero
Absolute zero is defined as the lowest possible temperature where nothing could be colder and no heat energy remains in a substance. It is 0 Kelvin, -273.15°C, or -459.67°F. At this temperature, the entropy or disorder in a perfect crystal would be zero, according to the third law of thermodynamics.
02
Absolute Zero as a Hypothetical Temperature
Absolute zero is considered a hypothetical temperature because it is a limit that cannot be physically reached. As temperature decreases toward absolute zero, molecules slow down, but due to quantum mechanical effects, they will never completely stop. Furthermore, all processes (cooling methods) require energy expenditures that introduce heat, making it impossible to reach zero kinetic energy.
03
Quantum Mechanical Perspective
Quantum mechanics suggests that particles retain zero-point energy, a minimum amount of energy they possess even at absolute zero. This means the vibrational motion of particles cannot be entirely stopped, leading to continued movement or energy even at absolute zero.
04
Practical Attempts to Reach Absolute Zero
In practice, scientists can get extremely close to absolute zero using techniques like laser cooling or adiabatic demagnetization, but absolute zero remains unattainable. The closer a substance gets to absolute zero, the more difficult it becomes to remove the remaining heat energy.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Third Law of Thermodynamics
The Third Law of Thermodynamics is a fundamental principle that plays a crucial role in understanding absolute zero. This law states that the entropy of a perfect crystal approaches zero as the temperature approaches absolute zero. Entropy is a measure of disorder; thus, at absolute zero, the disorder would theoretically be at its minimum. However, achieving this state is purely theoretical because, in practice, every real-world object contains imperfections and residual vibrations that contribute to its entropy. Consequently, achieving absolute zero entropy is impossible in any physical system, which aligns with the notion that actual temperatures can only approach, but never reach, absolute zero. Real-world experiments continuously strive to get closer to this limit by reducing energy, but they can never fully zero out the intrinsic motions within matter.
Quantum Mechanics
Quantum mechanics provides a unique understanding of why absolute zero is unattainable. In classical physics, it's easy to imagine that particles could be entirely motionless at absolute zero. However, quantum mechanics reveals that particles exhibit wave-like properties even at the lowest energies. This wave-like nature of particles gives rise to what is called the zero-point energy, meaning particles still possess a residual energy at absolute zero. Quantum mechanics further implies that particles, such as electrons or atoms, are never perfectly static. They're governed by probabilistic rules that dictate that being perfectly motionless contradicts the fundamental uncertainty inherent in their nature. Thus, while we can reduce a system's energy to approach these incredibly low temperatures, quantum mechanics ensures that a complete halt is unattainable.
Zero-point Energy
Zero-point energy is an essential concept that helps explain why reaching absolute zero is impossible. This refers to the lowest possible energy that a quantum mechanical physical system can have, which persists even when a system is at absolute zero. Due to quantum mechanics, particles like electrons still vibrate minutely, with their motion unable to completely cease. This residual energy prohibits the possibility of achieving zero kinetic energy, ensuring the particles never lose all their energetic activity. Zero-point energy is not just a theoretical idea but has practical implications, as it can influence processes such as low-temperature physics and technologies like superconducting qubits. Understanding zero-point energy explains the persistent vibratory motion in atoms, even when cooled to incredibly low temperatures.
Kelvin Scale
The Kelvin scale is the standard measure used in the scientific community to describe thermodynamic temperature. It begins at absolute zero, the point where no more thermal energy can be extracted from a system. Absolute zero is 0 Kelvin, corresponding to -273.15°C or -459.67°F on the Celsius and Fahrenheit scales, respectively. The Kelvin scale is absolute and linear, making it very practical for scientific calculations. With no negative temperatures, it provides a clear baseline where lower temperatures signify lower energy levels. This scale is essential for accurately depicting temperatures in fields such as physics and chemistry, where precise measurements are critical. Scientists utilize the Kelvin scale extensively when studying phenomena at extremely low temperatures, such as superconductivity, cryogenics, and even certain aspects of cosmic phenomena.