Thermodynamics of Black-Body Radiation

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\( x\in U(a, \epsilon) \)

Problem 1

Show that the photon gas in thermal equilibrium has zero chemical potential.


Problem 1

Find number of photons in black-body radiation of temperature $T$ in volume $V$, which have frequencies in the interval $\left[ \omega ,\omega +d\omega \right]$.


Problem 1

Find total photon number of black body radiation in volume $V$ at temperature $T$.


Problem 1

Estimate number of photons in a gas oven at room temperature and at maximum heat.


Problem 1

Find energy of photons in black-body radiation of temperature $T$ in volume $V$, which have frequencies in the interval $\left[ \omega ,\omega +d\omega \right]$.


Problem 1

Calculate free energy, entropy and total energy of black-body radiation.


Problem 1

Calculate thermal capacity of black-body radiation.


Problem 1

Find pressure of black-body radiation and construct its state equation.


Problem 1

Find adiabate equation for the photon gas of black-body radiation.


Problem 1

Why CMB cannot be used to warm up food like in the microwave oven?


Problem 1

The binding energy of electron in the hydrogen atom equals to $13.6\ eV$. What is the temperature of Planck distribution, with this average photon energy?