Examples of absolute zero in the following topics:
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- Absolute zero is the coldest possible temperature; formally, it is the temperature at which entropy reaches its minimum value.
- Absolute zero is universal in the sense that all matteris in ground state at this temperature .
- To be precise, a system at absolute zero still possesses quantum mechanical zero-point energy, the energy of its ground state.
- The zero point of a thermodynamic temperature scale, such as the Kelvin scale, is set at absolute zero.
- Explain why absolute zero is a natural choice as the null point for a temperature unit system
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- According to the third law of thermodynamics, the entropy of a perfect crystal at absolute zero is exactly equal to zero.
- The third law of thermodynamics is sometimes stated as follows: The entropy of a perfect crystal at absolute zero is exactly equal to zero.
- Nernst proposed that the entropy of a system at absolute zero would be a well-defined constant.
- Instead of being 0, entropy at absolute zero could be a nonzero constant, due to the fact that a system may have degeneracy (having several ground states at the same energy).
- In simple terms, the third law states that the entropy of a perfect crystal approaches zero as the absolute temperature approaches zero.
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- The kelvin is a unit of measurement for temperature; the null point of the Kelvin scale is absolute zero, the lowest possible temperature.
- The Kelvin scale is an absolute, thermodynamic temperature scale using absolute zero as its null point.
- In the classical description of thermodynamics, absolute zero is the temperature at which all thermal motion ceases.
- The choice of absolute zero as null point for the Kelvin scale is logical.
- Subtracting 273.16K from the temperature of the triple point of water, 0.01°C, makes absolute zero (0K) equivalent to -273.15°C and -460°F .
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- It is impossible to reduce the temperature of any system to zero temperature in a finite number of finite operations.
- In this Atom, we discuss an adiabatic cooling process that can be used to cool a gas, as well as whether absolute zero can be obtained in real systems.
- Previously, we learned about the third law of thermodynamics, which states: the entropy of a perfect crystal at absolute zero is exactly equal to zero.
- Assuming an entropy difference at absolute zero, T=0 could be reached in a finite number of steps.
- Left side: Absolute zero can be reached in a finite number of steps if S(T=0,X1)≠S(T=0, X2).
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- Thermodynamic temperature is an "absolute" scale because it is the measure of the fundamental property underlying temperature: its null or zero point ("absolute zero") is the temperature at which the particle constituents of matter have minimal motion and cannot become any colder.
- Therefore, it is reasonable to choose absolute zero, where all classical motion ceases, as the reference point (T=0) of our temperature system .
- By international agreement, the unit kelvin and its scale are defined by two points: absolute zero and the triple point of Vienna Standard Mean Ocean Water (water with a specified blend of hydrogen and oxygen isotopes).
- Absolute zero, the lowest possible temperature, is defined precisely as 0 K and −273.15 °C.
- Note that all of the graphs extrapolate to zero pressure at the same temperature
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- This brings up two important points: optimized heat sinks are at absolute zero, and the longer engines dump heat into an isolated system the less efficient engines will become.
- Unfortunately for engine efficiency, day-to-day life never operates in absolute zero.
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- Although these defining correlations are commonly taught in schools today, by international agreement the unit "degree Celsius" and the Celsius scale are currently defined by two different temperatures: absolute zero and the triple point of Vienna Standard Mean Ocean Water (VSMOW; specially purified water).
- Absolute zero, the lowest temperature possible (the temperature at which matter reaches minimum entropy), is defined as being precisely 0K and -273.15°C.
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- Historically, the zero point of the Fahrenheit scale was determined by evaluating a thermometer placed in brine.
- Absolute zero (-273.15 °C, or 0K) is defined as -459.67 °F.
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- For scalars, the obvious answer is the absolute value.
- The absolute value of a scalar has the property that it is never negative and it is zero if and only if the scalar itself is zero.
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- Note well that the convergence is slowest at the origin, where the absolute value function is not differentiable.
- Here you can see that only the sine terms appear, and no constant (zero-frequency) term.