the entropy of a gas of photon is proportional to
Answers
Answer:
In physics, a photon gas is a gas-like collection of photons, which has many of the same properties of a conventional gas like hydrogen or neon – including pressure, temperature, and entropy. The most common example of a photon gas in equilibrium is black-body radiation.
Photons are part of family of particles known as bosons, particles that follow Bose–Einstein statistics and with integer spin. A gas of bosons with only one type of particle is uniquely described by three state functions such as the temperature, volume, and the number of particles. However, for a black body, the energy distribution is established by the interaction of the photons with matter, usually the walls of the container. In this interaction, the number of photons is not conserved. As a result, the chemical potential of the black-body photon gas is zero. The number of state variables needed to describe a black-body state is thus reduced from three to two (e.g. temperature and volume).
Answer:
Concept:
Entropy is a measurable physical property associated with chaos, unpredictability, and uncertainty. The phrase and concept are employed in a wide range of domains, from classical thermodynamic, where it was first discovered, to statistical physics' microscopic description of nature, to information theory's principles. It has various uses in chemistry and physics, biological systems and their interactions with living things, cosmology, economics, sociology, meteorological science, climate change, and information systems, including telecommunications.
Given:
The entropy of a gas of photon is proportional to
Find:
The entropy of a photon gas is proportional to the number of photons in it.
Answer:
The thermodynamic entropy is proportional to the logarithm of the number of microstates in the system; it was introduced by Ludwig Boltzmann in the 1870s. As a result, if a system's thermodynamic probability W grows, its entropy S must also increase. Moreover, because W always increases as a result of a spontaneous change, S must also increase as a result of the same change. "The entropy per photon is consequently equal to k(1-lnfr)," they concluded after devising a formula for the radiation density. The photon distribution function is fr, and Boltzmann's constant is k.
#SPJ2