A vacuum reactor is used to synthesize WO3 nanoparticles for use in an electrochromic window device. To create the WO3 nanoparticles, a tungsten (W) metal filament 1.0 mm in diameter and 10 cm long is heated to 2200C in a vacuum with a trace pressure of oxygen gas. Assuming all of the W evaporating from the surface of the filament is rapidly and completely oxidized to WO3, determine the maximum rate of production of WO3 from this reactor (g/s). The equilibrium vapor pressure of W at 2200C is approximately 10 ^ 10 atm.