Calculate the charge developed on a vessel being filled with carbon black by pouring from another open vessel. Assume the vessel has a volume of \(1.89 \mathrm{~m}^{3}\) and the feed rate is \(0.1 \mathrm{~kg} / \mathrm{s}\). Identify the accumulated charge and the energy, and then determine whether the energy exceeds the MIE of dusts. Does the lower charge rate, compared to Problem 7-7, lower the potential hazard?

Problem 7-7

Calculate the charge developed on a vessel being filled with carbon black. Consider two filling methods:

(a) pouring from an open vessel and

(b) pneumatic transport. Assume the vessel has a volume of \(1.89 \mathrm{~m}^{3}\) and carbon black feed rate is \(5 \mathrm{~kg} / \mathrm{s}\). Determine the accumulated charge and the energy. Does the energy exceed the MIE for dusts?