3. Unknown compound C is thought to be either dimethyl ether, diethyl ether, or di-isopropyl ether, whose
formulas are C$_2$H$_6$O, C$_4$H$_{10}$O, and C$_6$H$_{14}$O, respectively. A glass bulb filled with vaporized compound C
at 75.3°C and 743 mm Hg pressure, weighed 177.11 g. Evacuated, the glass bulb weighed 176.41 g;
completely filled with water, the glass bulb weighed 452.12 g. Determine the identity of compound C.
(3 points)
Assume a density of 0.9978 g/cm$^3$ for the water used in the calibration of the glass bulb.