In this problem you will consider the balance of thermal energy radiated and absorbed by a person. Assume that the person is wearing only a skimpy bathing suit of negligible area. As a rough approximation, the area of a human body may be considered to be that of the sides of a cylinder of length L=2.0m and circumference C=0.8m. For the Stefan-Boltzmann constant use ?=5.67

In this problem we will deal with simple thermodynamics model of a black hole. Assume that the properties of a black hole depend only on the mass of the black hole. (a) One characteristic of a black hole is the area of its event horizon. Roughly speaking, the event horizon is the boundary of the black hole. Inside this boundary, the gravity is so strong that even light cannot emerge from the region enclosed by the boundary. We shall write A = G°c°m. Use dimensional analysis to find a, ß , and y. (b) One quantities in thermodynamics is entropy (S), that measure the disorder of a system. The relationship between entropy S, energy E and temperature 0 of a system is given as follow: entropy is proportional the area of the black hole's event horizon S = nA, where 7 depends on c, kip, G and h. Using dimensional analysis determine n. For black holes, Bekenstein propose that the || dE (c) With the previous results, determine the temperature of the black hole, as a function of the mass. The…

Calculate the amount of radiation emitted for a unit surface (2 m2) for black ball at 53°C and £≈0.96 Express your answer SI units (in W).

2.9. (a) Solve the integral ...| (dx .dx3N) 3N and use it to determine the "volume" the relevant region of the phase space of an extreme relativistic gas ( = pc) of 3N particles moving in one dimension. Determine, as well, the number of ways of distributing a given energy E among this system of particles and show that, asymptotically, w0 = h³N. (b) Compare the thermodynamics of this system with that of the system considered in Problem 2.8.