Liquid oxygen is stored in a thin-walled, spherical container \(0.75 \mathrm{~m}\) in diameter, which is enclosed within a second thin-walled, spherical container \(1.1 \mathrm{~m}\) in diameter. The opaque, diffuse, gray container surfaces have an emissivity of 0.05 and are separated by an evacuated space. If the outer surface is at \(280 \mathrm{~K}\) and the inner surface is at \(90 \mathrm{~K}\), what is the mass rate of oxygen lost due to evaporation? (The latent heat of vaporization of oxygen is \(2.13 \times 10^{5} \mathrm{~J} / \mathrm{kg}\).)