1) Find the fractional number of molecules of a gas having speeds between vm and 1.05vm where vm = √2kT/m and is denoted as the most probable speed.
2) At what radial "distance" v from the origin of velocity space is the "density" of representative points one-half as great as at the origin.
3) How many oxygen molecules in one mole have speeds greater than 103 m/s at a temperature of 1000 K?
4) The oven in the figure below contains bismuth at a temperature of 827 K. The drum is 10 cm in diameter and rotates at 6000 rpm. Find the displacement on the glass plate G, measured from a point directly opposite the slit, of the points of impact of the molecules Bi and Bi2. Assume that all the molecules of each species travel with the root mean square speed appropriate to that species.
