# Fundamental definition of temperature

• kasse
In summary, temperature is a measure of the average kinetic energy of particles in a substance and is closely related to heat, which is the transfer of energy between objects. The standard unit of measurement for temperature is the Kelvin scale, but other commonly used units include Celsius and Fahrenheit. As temperature increases, particles move faster and may cause changes in the substance's physical state. Temperature can also be negative, indicating a temperature below absolute zero where there is no kinetic energy present.
kasse
The fundamental definition of temperature is

$$T^{-1} = \frac{dS}{dE}$$

How can I verify that the dimensions work in this equation?

Last edited:
Units of S over units of E = reciprocal of units of temperature.

Typically (in statistical mechanics calculations) S is a unitless number multiplied by Boltzmann's constant so it's kind of automatic given the units of Boltzmann's constant.

## 1. What is the fundamental definition of temperature?

The fundamental definition of temperature is a measure of the average kinetic energy of the particles in a substance. This means that temperature is a measure of how fast the particles are moving within a substance.

## 2. How is temperature related to heat?

Temperature and heat are closely related, but they are not the same thing. Heat is the transfer of energy from a warmer object to a cooler object, while temperature is a measure of the average kinetic energy of the particles within a substance.

## 3. What is the standard unit of measurement for temperature?

The standard unit of measurement for temperature is the Kelvin (K) scale. However, other common units include Celsius (°C) and Fahrenheit (°F).

## 4. How does temperature affect the behavior of particles in a substance?

As temperature increases, the particles within a substance gain more kinetic energy and move faster. This can lead to changes in the physical state of the substance, such as melting or boiling.

## 5. Can temperature be negative?

Yes, temperature can be negative on the Kelvin and Celsius scales. This indicates a temperature below absolute zero, which is the lowest possible temperature and represents the absence of all kinetic energy in a substance.

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