In all parts of this problem the interval in question is small enough infinitesimal. as a consequence, do not perform any integrals. also, all parts of the problem refer to 1.00 mol o2(g) at 300 k and 1 bar to be considered 2. (4 pts) how many molecules have their speed in the range 500.000 to 500.001 m/s? a. b. (2 pts) what is the probability that a molecule picked at random has speed in the range 500.000 to 500.001 m/s? (4 pts) what is the probability that the x component of the velocity of a molecule is in the range 250.000 to 250.001 m/s? d. c. (4 pts) how many molecules have thex component of their velocity in the range 250.000 to 250.001 m/s and (simultaneously) the z component in the range 200.000 to 200.001 m/s?