A diatomic molecule consists of two point masses, m1 and m2, separated by a distance r. If x is the distance from m1 to the center of mass, find the moment of inertia in terms of x about an axis perpendicular to the molecular axis through the center of mass.

Atwo-stage air compressor operates at steady state, compression 10m^3/min of air from 100 kpa and 300k to 1200 kpa. an intercooler between the two stages cools the air to 300k at a constant pressure of 350 kpa. the compression processes are isentropic. a) calculate the power required to run the compressor, in kw b) compare the result to the power required for isentropic compression from the same inlet state to the same final pressure.