For fermions, the thermodynamic probability for the j-th energy level is expressed 935 na(9,- g and n, represent degeneracy and the number of as particles in the j-th energy level, respectively. (a) what is the distribution for maximum thermodynamic probability when the total number of particles, n and the total internal energy, u are kept constant. one of the undetermined multipliers may be the chemical potential, , and the stirling's formula is ln(a! ) xlna- . (b) at a temperature of absolute zero, find out the fermi energy u(0) (c) plot f(e) e) as a function of e at t 0 (d) the internal energy of a gas of n fermions is expressed as 2 5t nef[1+ 12 t t -)4.. find out the fermion gas pressure. what is 16 tp u h2 the relation with u? cf. =p(0) and f2tmk 1.504 v -)2/3

We want to calculate the total metabolic heat generated by a singing canary taking into account heat transfer by radiation, convection and exhaling air. the air temperature is 20 oc, canary’s body internal and surface temperature is 33oc, external body surface convective heat transfer coefficient is 25.2 w/m2 .k, temperature difference between the inhaled and exhaled air is 4.3 oc, the ventilation rate is 0.74 cc of air per second, specific heat of air is 1.0066 kj/kg.k and density of air is 1.16 kg/m3 . assume the canary’s body to be a cylinder with 7 cm diameter and 9 cm length, and heat exchange is from the side as well as the top and bottom of cylinder. calculate 1) the net rate of heat lost by radiation, assuming heat gained by the bird through radiation from the surroundings is 11.5 w; 2) rate of heat transferred by convection to the surrounding air; 3) rate of heat transferred in the exhaling air without considering any internal evaporation; 4) total metabolic power.

Aball tossed vertically upward from the ground next to a building passes the bottom of a window 1.8 s after being tossed and passes the top of the window 0.20 s later. the window is 2.0 m high from top to bottom. what was the ball's initial velocity? the unit vector j^ is directed upward. how far is the bottom of the window from the launch position? how high does the ball rise above the launch position?

What is a possible result of higher air temperature caused by global warming