A steady-flow compressor is used to compress helium from 15 psia and 70°F at the inlet to 200 psia and 600°F at the outlet. The outlet area and velocity are 0.01 ft2 and 100 ft/s, respectively, and the inlet velocity is 54 ft/s. Determine the mass flow rate and the inlet area. The gas constant of helium is R = 2.6809 psia·ft3/lbm·R.