Problem $10\mathrm{.}10$ A toluene surge drum has capacity $500$ gal and is normally operated $60\%$ full at $100$Funder $300$ psig of hydrogen in the head space using a level controlled outflow. The normalflow rate into the vessel is $30,000$ lb$/$hr$.$ Determine the vessel dimensions if the vessel isvertically mounted. Evaluate the relief loads for the blocked outflow and external fire casesand hence determine the relief valve size. Make the pertinent assumptions to completely answer the problem!